2252511664 has 80 divisors (see below), whose sum is σ = 4879062720. Its totient is φ = 1000258560.

The previous prime is 2252511661. The next prime is 2252511671. The reversal of 2252511664 is 4661152522.

It is not an unprimeable number, because it can be changed into a prime (2252511661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2539029 + ... + 2539915.

It is an arithmetic number, because the mean of its divisors is an integer number (60988284).

Almost surely, 2^2252511664 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 2252511664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439531360).

2252511664 is an abundant number, since it is smaller than the sum of its proper divisors (2626551056).

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

2252511664 is a wasteful number, since it uses less digits than its factorization.

2252511664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1352 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 2252511664 is about 47460.6327812852. The cubic root of 2252511664 is about 1310.8581025876.

The spelling of 2252511664 in words is "two billion, two hundred fifty-two million, five hundred eleven thousand, six hundred sixty-four".