2056340160072 has 96 divisors (see below), whose sum is σ = 6075793152000. Its totient is φ = 623108492160.

The previous prime is 2056340160067. The next prime is 2056340160109. The reversal of 2056340160072 is 2700610436502.

2056340160072 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 3 + 40 + 1 + 600 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33422554 + ... + 33484022.

It is an arithmetic number, because the mean of its divisors is an integer number (63289512000).

Almost surely, 2^{2056340160072} is an apocalyptic number.

2056340160072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2056340160072 is an abundant number, since it is smaller than the sum of its proper divisors (4019452991928).

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

2056340160072 is a wasteful number, since it uses less digits than its factorization.

2056340160072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103731 (or 103724 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 2056340160072 its reverse (2700610436502), we get a palindrome (4756950596574).

The spelling of 2056340160072 in words is "two trillion, fifty-six billion, three hundred forty million, one hundred sixty thousand, seventy-two".