2056580279040 has 576 divisors, whose sum is σ = 7626175119360. Its totient is φ = 462621818880.

The previous prime is 2056580279003. The next prime is 2056580279069. The reversal of 2056580279040 is 409720856502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736860045 + ... + 736862835.

It is an arithmetic number, because the mean of its divisors is an integer number (13239887360).

Almost surely, 2^{2056580279040} is an apocalyptic number.

2056580279040 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 2056580279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813087559680).

2056580279040 is an abundant number, since it is smaller than the sum of its proper divisors (5569594840320).

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

2056580279040 is a wasteful number, since it uses less digits than its factorization.

2056580279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 2056580279040 in words is "two trillion, fifty-six billion, five hundred eighty million, two hundred seventy-nine thousand, forty".