2056644626400 has 1440 divisors, whose sum is σ = 9446833363968. Its totient is φ = 423785779200.

The previous prime is 2056644626359. The next prime is 2056644626417. The reversal of 2056644626400 is 46264466502.

2056644626400 is a `hidden beast` number, since 2 + 0 + 566 + 4 + 46 + 2 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 253558345 + ... + 253566455.

Almost surely, 2^{2056644626400} is an apocalyptic number.

2056644626400 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 2056644626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723416681984).

2056644626400 is an abundant number, since it is smaller than the sum of its proper divisors (7390188737568).

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

2056644626400 is a wasteful number, since it uses less digits than its factorization.

2056644626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

It can be divided in two parts, 2056644 and 626400, that added together give a square (2683044 = 1638²).

The spelling of 2056644626400 in words is "two trillion, fifty-six billion, six hundred forty-four million, six hundred twenty-six thousand, four hundred".