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2041332320 = 25512758327
BaseRepresentation
bin111100110101100…
…0100001001100000
312021021010102111202
41321223010021200
513140040113240
6534320500332
7101405016116
oct17153041140
95237112452
102041332320
11958308205
1248b77a6a8
13266bb9461
14155177ab6
15be329315
hex79ac4260

2041332320 has 24 divisors (see below), whose sum is σ = 4822647984. Its totient is φ = 816532864.

The previous prime is 2041332287. The next prime is 2041332353. The reversal of 2041332320 is 232331402.

It is an interprime number because it is at equal distance from previous prime (2041332287) and next prime (2041332353).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2041332292 and 2041332301.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6379004 + ... + 6379323.

It is an arithmetic number, because the mean of its divisors is an integer number (200943666).

Almost surely, 22041332320 is an apocalyptic number.

2041332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041332320 is an abundant number, since it is smaller than the sum of its proper divisors (2781315664).

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

2041332320 is a wasteful number, since it uses less digits than its factorization.

2041332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758342 (or 12758334 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2041332320 is about 45181.1057854940. The cubic root of 2041332320 is about 1268.5411814842.

Adding to 2041332320 its reverse (232331402), we get a palindrome (2273663722).

The spelling of 2041332320 in words is "two billion, forty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12758327 25516654 51033308 63791635 102066616 127583270 204133232 255166540 408266464 510333080 1020666160 2041332320