2913125760 has 192 divisors, whose sum is σ = 10225528560. Its totient is φ = 764006400.

The previous prime is 2913125749. The next prime is 2913125791. The reversal of 2913125760 is 675213192.

2913125760 is a `hidden beast` number, since 291 + 312 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 347215 + ... + 355505.

Almost surely, 2^2913125760 is an apocalyptic number.

2913125760 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 2913125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112764280).

2913125760 is an abundant number, since it is smaller than the sum of its proper divisors (7312402800).

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

2913125760 is a wasteful number, since it uses less digits than its factorization.

2913125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2913125760 is about 53973.3801053816. The cubic root of 2913125760 is about 1428.1913920905.

The spelling of 2913125760 in words is "two billion, nine hundred thirteen million, one hundred twenty-five thousand, seven hundred sixty".