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2466268980 = 2235727511117
BaseRepresentation
bin1001001100000000…
…0100011100110100
320100212201110000120
42103000010130310
520022331101410
61044420411540
7115054640400
oct22300043464
96325643016
102466268980
11105616542a
12589b46bb0
13303c4c176
14195790100
15e67b6570
hex93004734

2466268980 has 144 divisors (see below), whose sum is σ = 8050887936. Its totient is φ = 562464000.

The previous prime is 2466268969. The next prime is 2466268991. The reversal of 2466268980 is 898626642.

It is an interprime number because it is at equal distance from previous prime (2466268969) and next prime (2466268991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207382 + ... + 2208498.

It is an arithmetic number, because the mean of its divisors is an integer number (55908944).

Almost surely, 22466268980 is an apocalyptic number.

2466268980 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 2466268980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025443968).

2466268980 is an abundant number, since it is smaller than the sum of its proper divisors (5584618956).

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

2466268980 is a wasteful number, since it uses less digits than its factorization.

2466268980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 2466268980 is about 49661.5442772373. The cubic root of 2466268980 is about 1351.0771430799.

The spelling of 2466268980 in words is "two billion, four hundred sixty-six million, two hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 751 980 1117 1470 1502 2234 2253 2940 3004 3351 3755 4468 4506 5257 5585 6702 7510 7819 9012 10514 11170 11265 13404 15020 15638 15771 16755 21028 22340 22530 23457 26285 31276 31542 33510 36799 39095 45060 46914 52570 54733 63084 67020 73598 78190 78855 93828 105140 109466 110397 117285 147196 156380 157710 164199 183995 218932 220794 234570 273665 315420 328398 367990 441588 469140 547330 551985 656796 735980 820995 838867 1094660 1103970 1641990 1677734 2207940 2516601 3283980 3355468 4194335 5033202 5872069 8388670 10066404 11744138 12583005 16777340 17616207 23488276 25166010 29360345 35232414 41104483 50332020 58720690 70464828 82208966 88081035 117441380 123313449 164417932 176162070 205522415 246626898 352324140 411044830 493253796 616567245 822089660 1233134490 2466268980