2925864960 has 384 divisors, whose sum is σ = 10104756480. Its totient is φ = 720896000.

The previous prime is 2925864923. The next prime is 2925864973. The reversal of 2925864960 is 694685292.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28968910 + ... + 28969010.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^2925864960 is an apocalyptic number.

2925864960 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 2925864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

2925864960 is an abundant number, since it is smaller than the sum of its proper divisors (7178891520).

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

2925864960 is a wasteful number, since it uses less digits than its factorization.

2925864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 2925864960 is about 54091.2650989048. The cubic root of 2925864960 is about 1430.2702082835.

The spelling of 2925864960 in words is "two billion, nine hundred twenty-five million, eight hundred sixty-four thousand, nine hundred sixty".