2925679680 has 672 divisors, whose sum is σ = 12781117440. Its totient is φ = 596643840.

The previous prime is 2925679667. The next prime is 2925679711. The reversal of 2925679680 is 869765292.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17518957 + ... + 17519123.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^2925679680 is an apocalyptic number.

2925679680 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 2925679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

2925679680 is an abundant number, since it is smaller than the sum of its proper divisors (9855437760).

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

2925679680 is a wasteful number, since it uses less digits than its factorization.

2925679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2925679680 is about 54089.5524107937. The cubic root of 2925679680 is about 1430.2400170908.

The spelling of 2925679680 in words is "two billion, nine hundred twenty-five million, six hundred seventy-nine thousand, six hundred eighty".