2056948356960 has 960 divisors, whose sum is σ = 8749496448000. Its totient is φ = 444574199808.

The previous prime is 2056948356877. The next prime is 2056948357001. The reversal of 2056948356960 is 696538496502.

2056948356960 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 9 + 4 + 8 + 3 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1470298341 + ... + 1470299739.

It is an arithmetic number, because the mean of its divisors is an integer number (9114058800).

Almost surely, 2^{2056948356960} is an apocalyptic number.

2056948356960 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 2056948356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374748224000).

2056948356960 is an abundant number, since it is smaller than the sum of its proper divisors (6692548091040).

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

2056948356960 is a wasteful number, since it uses less digits than its factorization.

2056948356960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 2056948356960 in words is "two trillion, fifty-six billion, nine hundred forty-eight million, three hundred fifty-six thousand, nine hundred sixty".