2995604640 has 768 divisors, whose sum is σ = 12889497600. Its totient is φ = 635019264.

The previous prime is 2995604611. The next prime is 2995604671. The reversal of 2995604640 is 464065992.

2995604640 is a `hidden beast` number, since 2 + 9 + 9 + 560 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 41035644 + ... + 41035716.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2^2995604640 is an apocalyptic number.

2995604640 is a gapful number since it is divisible by the number (20) 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 2995604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444748800).

2995604640 is an abundant number, since it is smaller than the sum of its proper divisors (9893892960).

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

2995604640 is a wasteful number, since it uses less digits than its factorization.

2995604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2995604640 is about 54732.1170794626. The cubic root of 2995604640 is about 1441.5448698082.

The spelling of 2995604640 in words is "two billion, nine hundred ninety-five million, six hundred four thousand, six hundred forty".