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2566423020 = 2235721751349
BaseRepresentation
bin1001100011111000…
…1000000111101100
320121212011210112110
42120332020013230
520224001014040
61102355204020
7120412143600
oct23076100754
96555153473
102566423020
1110a7751667
125b75a6610
1331b917b05
141a4bc1500
1510049b980
hex98f881ec

2566423020 has 144 divisors (see below), whose sum is σ = 8851096800. Its totient is φ = 552093696.

The previous prime is 2566423019. The next prime is 2566423021. The reversal of 2566423020 is 203246652.

It is an interprime number because it is at equal distance from previous prime (2566423019) and next prime (2566423021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2566423021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24306 + ... + 75654.

It is an arithmetic number, because the mean of its divisors is an integer number (61465950).

Almost surely, 22566423020 is an apocalyptic number.

2566423020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425548400).

2566423020 is an abundant number, since it is smaller than the sum of its proper divisors (6284673780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2566423020 is a wasteful number, since it uses less digits than its factorization.

2566423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51392 (or 51383 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2566423020 is about 50659.8758387740. The cubic root of 2566423020 is about 1369.1238861842.

Adding to 2566423020 its reverse (203246652), we get a palindrome (2769669672).

It can be divided in two parts, 25664 and 23020, that added together give a palindrome (48684).

The spelling of 2566423020 in words is "two billion, five hundred sixty-six million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 51349 102698 154047 205396 256745 308094 359443 513490 616188 718886 770235 872933 1026980 1078329 1437772 1540470 1745866 1797215 2156658 2516101 2618799 3080940 3491732 3594430 4313316 4364665 5032202 5237598 5391645 6110531 7188860 7548303 8729330 10064404 10475196 10783290 12221062 12580505 13093995 15096606 17458660 18331593 21566580 24442124 25161010 26187990 30193212 30552655 36663186 37741515 42773717 50322020 52375980 61105310 73326372 75483030 85547434 91657965 122210620 128321151 150966060 171094868 183315930 213868585 256642302 366631860 427737170 513284604 641605755 855474340 1283211510 2566423020