2904164640 has 144 divisors (see below), whose sum is σ = 10672873848. Its totient is φ = 714866688.

The previous prime is 2904164629. The next prime is 2904164707. The reversal of 2904164640 is 464614092.

2904164640 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 1 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 737448336 + 2166716304 = 27156^2 + 46548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2904164595 and 2904164604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58849 + ... + 96288.

Almost surely, 2^2904164640 is an apocalyptic number.

2904164640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2904164640 is an abundant number, since it is smaller than the sum of its proper divisors (7768709208).

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

2904164640 is a wasteful number, since it uses less digits than its factorization.

2904164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155171 (or 155160 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2904164640 is about 53890.3019104551. The cubic root of 2904164640 is about 1426.7254592866.

The spelling of 2904164640 in words is "two billion, nine hundred four million, one hundred sixty-four thousand, six hundred forty".