2913792000 has 416 divisors, whose sum is σ = 11121936384. Its totient is φ = 663552000.

The previous prime is 2913791989. The next prime is 2913792001. The reversal of 2913792000 is 2973192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913792001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10751865 + ... + 10752135.

It is an arithmetic number, because the mean of its divisors is an integer number (26735424).

Almost surely, 2^2913792000 is an apocalyptic number.

2913792000 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 2913792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560968192).

2913792000 is an abundant number, since it is smaller than the sum of its proper divisors (8208144384).

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

2913792000 is an equidigital number, since it uses as much as digits as its factorization.

2913792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 2913792000 is about 53979.5516839479. The cubic root of 2913792000 is about 1428.3002609119.

The spelling of 2913792000 in words is "two billion, nine hundred thirteen million, seven hundred ninety-two thousand".