2252532000 has 96 divisors (see below), whose sum is σ = 7379334144. Its totient is φ = 600672000.

The previous prime is 2252531999. The next prime is 2252532017. The reversal of 2252532000 is 2352522.

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

It is a super-2 number, since 2×2252532000² = 10147800822048000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81856 + ... + 105855.

It is an arithmetic number, because the mean of its divisors is an integer number (76868064).

Almost surely, 2^2252532000 is an apocalyptic number.

2252532000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252532000 is an abundant number, since it is smaller than the sum of its proper divisors (5126802144).

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

2252532000 is a wasteful number, since it uses less digits than its factorization.

2252532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187739 (or 187721 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2252532000 is about 47460.8470215187. The cubic root of 2252532000 is about 1310.8620474477.

Adding to 2252532000 its reverse (2352522), we get a palindrome (2254884522).

The spelling of 2252532000 in words is "two billion, two hundred fifty-two million, five hundred thirty-two thousand".