2657181317056 has 168 divisors, whose sum is σ = 6338958798816. Its totient is φ = 1101178552320.

The previous prime is 2657181317053. The next prime is 2657181317057. The reversal of 2657181317056 is 6507131817562.

It is a super-2 number, since 2×2657181317056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2657181316994 and 2657181317012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657181317053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14437645 + ... + 14620531.

It is an arithmetic number, because the mean of its divisors is an integer number (37731897612).

Almost surely, 2^{2657181317056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657181317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169479399408).

2657181317056 is an abundant number, since it is smaller than the sum of its proper divisors (3681777481760).

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

2657181317056 is a wasteful number, since it uses less digits than its factorization.

2657181317056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183067 (or 183050 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 2657181317056 in words is "two trillion, six hundred fifty-seven billion, one hundred eighty-one million, three hundred seventeen thousand, fifty-six".