2927984640 has 512 divisors, whose sum is σ = 11475440640. Its totient is φ = 622854144.

The previous prime is 2927984599. The next prime is 2927984659. The reversal of 2927984640 is 464897292.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79134702 + ... + 79134738.

It is an arithmetic number, because the mean of its divisors is an integer number (22412970).

Almost surely, 2^2927984640 is an apocalyptic number.

2927984640 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 2927984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737720320).

2927984640 is an abundant number, since it is smaller than the sum of its proper divisors (8547456000).

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

2927984640 is an equidigital number, since it uses as much as digits as its factorization.

2927984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2927984640 is about 54110.8551032046. The cubic root of 2927984640 is about 1430.6155173766.

The spelling of 2927984640 in words is "two billion, nine hundred twenty-seven million, nine hundred eighty-four thousand, six hundred forty".