2251687152 has 80 divisors (see below), whose sum is σ = 6833812608. Its totient is φ = 629840640.

The previous prime is 2251687129. The next prime is 2251687171. The reversal of 2251687152 is 2517861522.

It is a super-2 number, since 2×2251687152² = 10140190060963742208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2251687152.

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, 157158 + ... + 170885.

Almost surely, 2^2251687152 is an apocalyptic number.

2251687152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2251687152 is an abundant number, since it is smaller than the sum of its proper divisors (4582125456).

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

2251687152 is a wasteful number, since it uses less digits than its factorization.

2251687152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328078 (or 328072 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 2251687152 is about 47451.9457135321. The cubic root of 2251687152 is about 1310.6981403915.

The spelling of 2251687152 in words is "two billion, two hundred fifty-one million, six hundred eighty-seven thousand, one hundred fifty-two".