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2042204664 = 2331943310343
BaseRepresentation
bin111100110111001…
…1001000111111000
312021022202202010210
41321232121013320
513140301022124
6534351311120
7101415311313
oct17156310770
95238682123
102042204664
11958853655
1248bb1b4a0
13267133536
1415532397a
15be44ca29
hex79b991f8

2042204664 has 64 divisors (see below), whose sum is σ = 5387155200. Its totient is φ = 643355136.

The previous prime is 2042204653. The next prime is 2042204699. The reversal of 2042204664 is 4664022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192277 + ... + 202619.

It is an arithmetic number, because the mean of its divisors is an integer number (84174300).

Almost surely, 22042204664 is an apocalyptic number.

2042204664 is a gapful number since it is divisible by the number (24) 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 2042204664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693577600).

2042204664 is an abundant number, since it is smaller than the sum of its proper divisors (3344950536).

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

2042204664 is a wasteful number, since it uses less digits than its factorization.

2042204664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2042204664 is about 45190.7586127960. The cubic root of 2042204664 is about 1268.7218554298.

The spelling of 2042204664 in words is "two billion, forty-two million, two hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 433 456 866 1299 1732 2598 3464 5196 8227 10343 10392 16454 20686 24681 31029 32908 41372 49362 62058 65816 82744 98724 124116 196517 197448 248232 393034 589551 786068 1179102 1572136 2358204 4478519 4716408 8957038 13435557 17914076 26871114 35828152 53742228 85091861 107484456 170183722 255275583 340367444 510551166 680734888 1021102332 2042204664