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2676581380 = 2251147379683
BaseRepresentation
bin1001111110001001…
…0110010000000100
320220112110102101201
42133202112100010
520440201101010
61121332232244
7123220365154
oct23742262004
96815412351
102676581380
111153951230
1262846b684
133386a7285
141b5698764
15109eab23a
hex9f896404

2676581380 has 96 divisors (see below), whose sum is σ = 6287984640. Its totient is φ = 948689280.

The previous prime is 2676581339. The next prime is 2676581387. The reversal of 2676581380 is 831856762.

It is a self number, because there is not a number n which added to its sum of digits gives 2676581380.

It is not an unprimeable number, because it can be changed into a prime (2676581387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918519 + ... + 3919201.

It is an arithmetic number, because the mean of its divisors is an integer number (65499840).

Almost surely, 22676581380 is an apocalyptic number.

2676581380 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 2676581380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143992320).

2676581380 is an abundant number, since it is smaller than the sum of its proper divisors (3611403260).

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

2676581380 is a wasteful number, since it uses less digits than its factorization.

2676581380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 2676581380 is about 51735.6876826819. The cubic root of 2676581380 is about 1388.4390427053.

The spelling of 2676581380 in words is "two billion, six hundred seventy-six million, five hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 379 470 517 683 758 940 1034 1366 1516 1895 2068 2585 2732 3415 3790 4169 5170 6830 7513 7580 8338 10340 13660 15026 16676 17813 20845 30052 32101 35626 37565 41690 64202 71252 75130 83380 89065 128404 150260 160505 178130 195943 258857 321010 353111 356260 391886 517714 642020 706222 783772 979715 1035428 1294285 1412444 1765555 1959430 2588570 2847427 3531110 3918860 5177140 5694854 7062220 11389708 12166279 14237135 24332558 28474270 48665116 56948540 60831395 121662790 133829069 243325580 267658138 535316276 669145345 1338290690 2676581380