2056391632640 has 288 divisors, whose sum is σ = 5290564507200. Its totient is φ = 763491778560.

The previous prime is 2056391632627. The next prime is 2056391632643. The reversal of 2056391632640 is 462361936502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056391632643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399064304 + ... + 399069456.

It is an arithmetic number, because the mean of its divisors is an integer number (18370015650).

Almost surely, 2^{2056391632640} is an apocalyptic number.

2056391632640 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 2056391632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645282253600).

2056391632640 is an abundant number, since it is smaller than the sum of its proper divisors (3234172874560).

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

2056391632640 is a wasteful number, since it uses less digits than its factorization.

2056391632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 2056391632640 in words is "two trillion, fifty-six billion, three hundred ninety-one million, six hundred thirty-two thousand, six hundred forty".