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2668640022 = 2321931376803
BaseRepresentation
bin1001111100010000…
…0011011100010110
320212222111221220100
42133010003130112
520431132440042
61120450114530
7123063031416
oct23704033426
96788457810
102668640022
11114a417824
1262587ba46
13336b56749
141b45cc646
1510943d24c
hex9f103716

2668640022 has 96 divisors (see below), whose sum is σ = 6453457920. Its totient is φ = 793385280.

The previous prime is 2668639997. The next prime is 2668640057. The reversal of 2668640022 is 2200468662.

2668640022 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 640 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388873 + ... + 395675.

It is an arithmetic number, because the mean of its divisors is an integer number (67223520).

Almost surely, 22668640022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668640022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

2668640022 is an abundant number, since it is smaller than the sum of its proper divisors (3784817898).

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

2668640022 is a wasteful number, since it uses less digits than its factorization.

2668640022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2668640022 is about 51658.8813467733. The cubic root of 2668640022 is about 1387.0645264019.

The spelling of 2668640022 in words is "two billion, six hundred sixty-eight million, six hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 31 37 38 57 62 74 93 111 114 171 186 222 279 333 342 558 589 666 703 1147 1178 1406 1767 2109 2294 3441 3534 4218 5301 6327 6803 6882 10323 10602 12654 13606 20409 20646 21793 40818 43586 61227 65379 122454 129257 130758 196137 210893 251711 258514 387771 392274 421786 503422 632679 755133 775542 1163313 1265358 1510266 1898037 2265399 2326626 3796074 4006967 4530798 4782509 7803041 8013934 9565018 12020901 14347527 15606082 23409123 24041802 28695054 36062703 43042581 46818246 70227369 72125406 86085162 140454738 148257779 296515558 444773337 889546674 1334320011 2668640022