2251882116 has 81 divisors (see below), whose sum is σ = 6265493143. Its totient is φ = 681439440.

The previous prime is 2251882111. The next prime is 2251882141. The reversal of 2251882116 is 6112881522.

The square root of 2251882116 is 47454.

It is a perfect power (a square), and thus also a powerful number.

2251882116 is a `hidden beast` number, since 22 + 518 + 8 + 2 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2251882111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3131605 + ... + 3132323.

Almost surely, 2^2251882116 is an apocalyptic number.

2251882116 is the 47454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251882116

2251882116 is an abundant number, since it is smaller than the sum of its proper divisors (4013611027).

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

2251882116 is a wasteful number, since it uses less digits than its factorization.

2251882116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The cubic root of 2251882116 is about 1310.7359685562.

Multiplying 2251882116 by its sum of digits (36), we get a square (81067756176 = 284724²).

2251882116 divided by its sum of digits (36) gives a square (62552281 = 7909²).

The spelling of 2251882116 in words is "two billion, two hundred fifty-one million, eight hundred eighty-two thousand, one hundred sixteen".