2252531712 has 96 divisors (see below), whose sum is σ = 6025350240. Its totient is φ = 748339200.

The previous prime is 2252531693. The next prime is 2252531777. The reversal of 2252531712 is 2171352522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2252531712² = 10147798227131301888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2252531712.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3212962 + ... + 3213662.

It is an arithmetic number, because the mean of its divisors is an integer number (62764065).

Almost surely, 2^2252531712 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 2252531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012675120).

2252531712 is an abundant number, since it is smaller than the sum of its proper divisors (3772818528).

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

2252531712 is an equidigital number, since it uses as much as digits as its factorization.

2252531712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 2252531712 is about 47460.8439874387. The cubic root of 2252531712 is about 1310.8619915805.

The spelling of 2252531712 in words is "two billion, two hundred fifty-two million, five hundred thirty-one thousand, seven hundred twelve".