2252116672 has 56 divisors (see below), whose sum is σ = 4915302336. Its totient is φ = 1017305088.

The previous prime is 2252116637. The next prime is 2252116679. The reversal of 2252116672 is 2766112522.

It is not an unprimeable number, because it can be changed into a prime (2252116679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10308 + ... + 67900.

It is an arithmetic number, because the mean of its divisors is an integer number (87773256).

Almost surely, 2^2252116672 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 2252116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457651168).

2252116672 is an abundant number, since it is smaller than the sum of its proper divisors (2663185664).

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

2252116672 is a wasteful number, since it uses less digits than its factorization.

2252116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57665 (or 57655 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 2252116672 is about 47456.4713395339. The cubic root of 2252116672 is about 1310.7814757211.

It can be divided in two parts, 22521 and 16672, that added together give a palindrome (39193).

The spelling of 2252116672 in words is "two billion, two hundred fifty-two million, one hundred sixteen thousand, six hundred seventy-two".