2251966824 has 48 divisors (see below), whose sum is σ = 6103951620. Its totient is φ = 750055680.

The previous prime is 2251966807. The next prime is 2251966831. The reversal of 2251966824 is 4286691522.

It can be written as a sum of positive squares in 2 ways, for example, as 2159460900 + 92505924 = 46470^2 + 9618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2251966824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83274 + ... + 106950.

Almost surely, 2^2251966824 is an apocalyptic number.

2251966824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2251966824 is an abundant number, since it is smaller than the sum of its proper divisors (3851984796).

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

2251966824 is a wasteful number, since it uses less digits than its factorization.

2251966824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25010 (or 25003 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2251966824 is about 47454.8925191070. The cubic root of 2251966824 is about 1310.7524034648.

The spelling of 2251966824 in words is "two billion, two hundred fifty-one million, nine hundred sixty-six thousand, eight hundred twenty-four".