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2554331240 = 235237513697
BaseRepresentation
bin1001100001000000…
…0000000001101000
320121000102110201202
42120100000001220
520212402044430
61101244103332
7120204312566
oct23020000150
96530373652
102554331240
1110a094295a
125b3534b48
13319273106
141a3354a36
15ee3add45
hex98400068

2554331240 has 64 divisors (see below), whose sum is σ = 6006735360. Its totient is φ = 975744000.

The previous prime is 2554331233. The next prime is 2554331267. The reversal of 2554331240 is 421334552.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689072 + ... + 692768.

It is an arithmetic number, because the mean of its divisors is an integer number (93855240).

Almost surely, 22554331240 is an apocalyptic number.

2554331240 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 2554331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003367680).

2554331240 is an abundant number, since it is smaller than the sum of its proper divisors (3452404120).

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

2554331240 is a wasteful number, since it uses less digits than its factorization.

2554331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2554331240 is about 50540.3921631006. The cubic root of 2554331240 is about 1366.9702774471.

Adding to 2554331240 its reverse (421334552), we get a palindrome (2975665792).

The spelling of 2554331240 in words is "two billion, five hundred fifty-four million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 751 920 1502 3004 3697 3755 6008 7394 7510 14788 15020 17273 18485 29576 30040 34546 36970 69092 73940 85031 86365 138184 147880 170062 172730 340124 345460 425155 680248 690920 850310 1700620 2776447 3401240 5552894 11105788 13882235 22211576 27764470 55528940 63858281 111057880 127716562 255433124 319291405 510866248 638582810 1277165620 2554331240