2251262520 has 144 divisors (see below), whose sum is σ = 7922926440. Its totient is φ = 554141952.

The previous prime is 2251262477. The next prime is 2251262527. The reversal of 2251262520 is 252621522.

2251262520 is a `hidden beast` number, since 2 + 2 + 5 + 12 + 625 + 20 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251262527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42339 + ... + 79341.

Almost surely, 2^2251262520 is an apocalyptic number.

2251262520 is a gapful number since it is divisible by the number (20) 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 2251262520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961463220).

2251262520 is an abundant number, since it is smaller than the sum of its proper divisors (5671663920).

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

2251262520 is a wasteful number, since it uses less digits than its factorization.

2251262520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37046 (or 37026 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2251262520 is about 47447.4711654899. The cubic root of 2251262520 is about 1310.6157430120.

The spelling of 2251262520 in words is "two billion, two hundred fifty-one million, two hundred sixty-two thousand, five hundred twenty".