2056371167400 has 384 divisors, whose sum is σ = 7316049600000. Its totient is φ = 473163443200.

The previous prime is 2056371167387. The next prime is 2056371167401. The reversal of 2056371167400 is 47611736502.

It is a happy number.

It is a super-2 number, since 2×2056371167400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2056371167401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11201551 + ... + 11383649.

It is an arithmetic number, because the mean of its divisors is an integer number (19052212500).

Almost surely, 2^{2056371167400} is an apocalyptic number.

2056371167400 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 2056371167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658024800000).

2056371167400 is an abundant number, since it is smaller than the sum of its proper divisors (5259678432600).

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

2056371167400 is a wasteful number, since it uses less digits than its factorization.

2056371167400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182217 (or 182208 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 2056371167400 in words is "two trillion, fifty-six billion, three hundred seventy-one million, one hundred sixty-seven thousand, four hundred".