2056646530800 has 180 divisors, whose sum is σ = 7162537331664. Its totient is φ = 546487065600.

The previous prime is 2056646530793. The next prime is 2056646530831. The reversal of 2056646530800 is 80356466502.

2056646530800 is a `hidden beast` number, since 2 + 0 + 56 + 64 + 6 + 530 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 4932 + ... + 2028131.

Almost surely, 2^{2056646530800} is an apocalyptic number.

2056646530800 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 2056646530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581268665832).

2056646530800 is an abundant number, since it is smaller than the sum of its proper divisors (5105890800864).

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

2056646530800 is a wasteful number, since it uses less digits than its factorization.

2056646530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033368 (or 2033354 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2056646530800 in words is "two trillion, fifty-six billion, six hundred forty-six million, five hundred thirty thousand, eight hundred".