2953792640 has 64 divisors (see below), whose sum is σ = 7068600000. Its totient is φ = 1180314624.

The previous prime is 2953792637. The next prime is 2953792663. The reversal of 2953792640 is 462973592.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 893711 + ... + 897009.

It is an arithmetic number, because the mean of its divisors is an integer number (110446875).

Almost surely, 2^2953792640 is an apocalyptic number.

2953792640 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 2953792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534300000).

2953792640 is an abundant number, since it is smaller than the sum of its proper divisors (4114807360).

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

2953792640 is a wasteful number, since it uses less digits than its factorization.

2953792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 2953792640 is about 54348.8053226564. The cubic root of 2953792640 is about 1434.8064973981.

The spelling of 2953792640 in words is "two billion, nine hundred fifty-three million, seven hundred ninety-two thousand, six hundred forty".