2925000960 has 576 divisors, whose sum is σ = 11676897792. Its totient is φ = 608698368.

The previous prime is 2925000959. The next prime is 2925000989. The reversal of 2925000960 is 690005292.

2925000960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16907434 + ... + 16907606.

It is an arithmetic number, because the mean of its divisors is an integer number (20272392).

Almost surely, 2^2925000960 is an apocalyptic number.

2925000960 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 2925000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838448896).

2925000960 is an abundant number, since it is smaller than the sum of its proper divisors (8751896832).

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

2925000960 is a wasteful number, since it uses less digits than its factorization.

2925000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2925000960 is about 54083.2780071623. The cubic root of 2925000960 is about 1430.1294094502.

The spelling of 2925000960 in words is "two billion, nine hundred twenty-five million, nine hundred sixty", and thus it is an aban number.