2056743014400 has 624 divisors, whose sum is σ = 8000339731200. Its totient is φ = 516190371840.

The previous prime is 2056743014387. The next prime is 2056743014401. The reversal of 2056743014400 is 44103476502.

2056743014400 is a `hidden beast` number, since 2 + 0 + 567 + 43 + 0 + 14 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056743014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46979721 + ... + 47023479.

Almost surely, 2^{2056743014400} is an apocalyptic number.

2056743014400 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 2056743014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000169865600).

2056743014400 is an abundant number, since it is smaller than the sum of its proper divisors (5943596716800).

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

2056743014400 is a wasteful number, since it uses less digits than its factorization.

2056743014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43819 (or 43786 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2056743014400 in words is "two trillion, fifty-six billion, seven hundred forty-three million, fourteen thousand, four hundred".