2252693872 has 80 divisors (see below), whose sum is σ = 5173606368. Its totient is φ = 936714240.

The previous prime is 2252693837. The next prime is 2252693887. The reversal of 2252693872 is 2783962522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254188 + ... + 262900.

Almost surely, 2^2252693872 is an apocalyptic number.

2252693872 is a gapful number since it is divisible by the number (22) 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 2252693872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586803184).

2252693872 is an abundant number, since it is smaller than the sum of its proper divisors (2920912496).

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

2252693872 is a wasteful number, since it uses less digits than its factorization.

2252693872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8858 (or 8852 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 2252693872 is about 47462.5523123230. The cubic root of 2252693872 is about 1310.8934471908.

The spelling of 2252693872 in words is "two billion, two hundred fifty-two million, six hundred ninety-three thousand, eight hundred seventy-two".