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2681222984 = 23113171109127
BaseRepresentation
bin1001111111010000…
…0011011101001000
320220212012020110222
42133310003131020
520442343113414
61122015525212
7123305006426
oct23764033510
96825166428
102681222984
111156531570
12629b29808
13339640b9b
141b6146116
1510a5c668e
hex9fd03748

2681222984 has 128 divisors (see below), whose sum is σ = 5839257600. Its totient is φ = 1143072000.

The previous prime is 2681222941. The next prime is 2681223029. The reversal of 2681222984 is 4892221862.

2681222984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21111929 + ... + 21112055.

It is an arithmetic number, because the mean of its divisors is an integer number (45619200).

Almost surely, 22681222984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681222984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919628800).

2681222984 is an abundant number, since it is smaller than the sum of its proper divisors (3158034616).

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

2681222984 is a wasteful number, since it uses less digits than its factorization.

2681222984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 2681222984 is about 51780.5270734086. The cubic root of 2681222984 is about 1389.2411682011.

The spelling of 2681222984 in words is "two billion, six hundred eighty-one million, two hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 31 44 62 71 88 109 124 127 142 218 248 254 284 341 436 508 568 682 781 872 1016 1199 1364 1397 1562 2201 2398 2728 2794 3124 3379 3937 4402 4796 5588 6248 6758 7739 7874 8804 9017 9592 11176 13516 13843 15478 15748 17608 18034 24211 27032 27686 30956 31496 36068 37169 43307 48422 55372 61912 72136 74338 85129 86614 96844 99187 110744 148676 152273 170258 173228 193688 198374 239909 279527 297352 304546 340516 346456 396748 429133 479818 559054 609092 681032 793496 858266 959636 982853 1118108 1218184 1716532 1919272 1965706 2236216 2638999 3074797 3433064 3931412 4720463 5277998 6149594 7862824 9440926 10555996 10811383 12299188 18881852 21111992 21622766 24598376 30468443 37763704 43245532 60936886 86491064 121873772 243747544 335152873 670305746 1340611492 2681222984