2056640544000 has 1080 divisors, whose sum is σ = 8903481474888. Its totient is φ = 470060236800.

The previous prime is 2056640543999. The next prime is 2056640544073. The reversal of 2056640544000 is 4450466502.

2056640544000 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 640 + 5 + 4 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27998659584 + 2028641884416 = 167328^2 + 1424304^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126999904 + ... + 127016096.

Almost surely, 2^{2056640544000} is an apocalyptic number.

2056640544000 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 2056640544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451740737444).

2056640544000 is an abundant number, since it is smaller than the sum of its proper divisors (6846840930888).

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

2056640544000 is an equidigital number, since it uses as much as digits as its factorization.

2056640544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2056640544000 in words is "two trillion, fifty-six billion, six hundred forty million, five hundred forty-four thousand".