2152879456000 has 1152 divisors, whose sum is σ = 7058914297344. Its totient is φ = 634886553600.

The previous prime is 2152879455971. The next prime is 2152879456019. The reversal of 2152879456000 is 6549782512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7772127862 + ... + 7772128138.

It is an arithmetic number, because the mean of its divisors is an integer number (6127529772).

Almost surely, 2^{2152879456000} is an apocalyptic number.

2152879456000 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 2152879456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529457148672).

2152879456000 is an abundant number, since it is smaller than the sum of its proper divisors (4906034841344).

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

2152879456000 is a wasteful number, since it uses less digits than its factorization.

2152879456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 2152879456000 in words is "two trillion, one hundred fifty-two billion, eight hundred seventy-nine million, four hundred fifty-six thousand".