2252497072176 has 640 divisors, whose sum is σ = 7484760944640. Its totient is φ = 643055542272.

The previous prime is 2252497072169. The next prime is 2252497072207. The reversal of 2252497072176 is 6712707942522.

2252497072176 is a `hidden beast` number, since 2 + 2 + 524 + 97 + 0 + 7 + 21 + 7 + 6 = 666.

It is a super-2 number, since 2×2252497072176² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2403945180 + ... + 2403946116.

It is an arithmetic number, because the mean of its divisors is an integer number (11694938976).

Almost surely, 2^{2252497072176} is an apocalyptic number.

2252497072176 is a gapful number since it is divisible by the number (26) 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 2252497072176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742380472320).

2252497072176 is an abundant number, since it is smaller than the sum of its proper divisors (5232263872464).

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

2252497072176 is a wasteful number, since it uses less digits than its factorization.

2252497072176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 2252497072176 in words is "two trillion, two hundred fifty-two billion, four hundred ninety-seven million, seventy-two thousand, one hundred seventy-six".