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2041565664 = 25329733321
BaseRepresentation
bin111100110101111…
…1101000111100000
312021021120021121010
41321223331013200
513140120100124
6534325500520
7101410010325
oct17153750740
95237507533
102041565664
11958457556
1248b871740
13266c6b728
141551d8b4c
15be373529
hex79afd1e0

2041565664 has 48 divisors (see below), whose sum is σ = 5543914320. Its totient is φ = 657054720.

The previous prime is 2041565651. The next prime is 2041565677. The reversal of 2041565664 is 4665651402.

It is an interprime number because it is at equal distance from previous prime (2041565651) and next prime (2041565677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363877 + ... + 369444.

It is an arithmetic number, because the mean of its divisors is an integer number (115498215).

Almost surely, 22041565664 is an apocalyptic number.

2041565664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2041565664 is an abundant number, since it is smaller than the sum of its proper divisors (3502348656).

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

2041565664 is a wasteful number, since it uses less digits than its factorization.

2041565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733363 (or 733355 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2041565664 is about 45183.6880300845. The cubic root of 2041565664 is about 1268.5895151456.

The spelling of 2041565664 in words is "two billion, forty-one million, five hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 733321 1466642 2199963 2933284 4399926 5866568 8799852 11733136 17599704 21266309 23466272 35199408 42532618 63798927 70398816 85065236 127597854 170130472 255195708 340260944 510391416 680521888 1020782832 2041565664