2724364025856 has 506 divisors, whose sum is σ = 8916049053732. Its totient is φ = 825564856320.

The previous prime is 2724364025821. The next prime is 2724364025869. The reversal of 2724364025856 is 6585204634272.

2724364025856 is a `hidden beast` number, since 2 + 7 + 24 + 36 + 4 + 0 + 2 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 247669456891 + ... + 247669456901.

Almost surely, 2^{2724364025856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724364025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458024526866).

2724364025856 is an abundant number, since it is smaller than the sum of its proper divisors (6191685027876).

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

2724364025856 is an frugal number, since it uses more digits than its factorization.

2724364025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2724364025856 in words is "two trillion, seven hundred twenty-four billion, three hundred sixty-four million, twenty-five thousand, eight hundred fifty-six".