2251689552 has 90 divisors (see below), whose sum is σ = 7330459578. Its totient is φ = 643337856.

The previous prime is 2251689529. The next prime is 2251689589. The reversal of 2251689552 is 2559861522.

2251689552 is a `hidden beast` number, since 2 + 2 + 5 + 16 + 89 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1280494656 + 971194896 = 35784^2 + 31164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2251689498 and 2251689507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 152503 + ... + 166614.

Almost surely, 2^2251689552 is an apocalyptic number.

It is an amenable number.

2251689552 is an abundant number, since it is smaller than the sum of its proper divisors (5078770026).

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

2251689552 is a wasteful number, since it uses less digits than its factorization.

2251689552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319145 (or 319129 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 2251689552 is about 47451.9710022671. The cubic root of 2251689552 is about 1310.6986060682.

The spelling of 2251689552 in words is "two billion, two hundred fifty-one million, six hundred eighty-nine thousand, five hundred fifty-two".