2656828041120 has 384 divisors, whose sum is σ = 10173549818880. Its totient is φ = 642219402240.

The previous prime is 2656828041083. The next prime is 2656828041139. The reversal of 2656828041120 is 211408286562.

2656828041120 is a `hidden beast` number, since 2 + 6 + 568 + 2 + 80 + 4 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16408879 + ... + 16570001.

It is an arithmetic number, because the mean of its divisors is an integer number (26493619320).

Almost surely, 2^{2656828041120} is an apocalyptic number.

2656828041120 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 2656828041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086774909440).

2656828041120 is an abundant number, since it is smaller than the sum of its proper divisors (7516721777760).

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

2656828041120 is a wasteful number, since it uses less digits than its factorization.

2656828041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161505 (or 161491 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2656828041120 in words is "two trillion, six hundred fifty-six billion, eight hundred twenty-eight million, forty-one thousand, one hundred twenty".