2252873736 has 160 divisors (see below), whose sum is σ = 6680361600. Its totient is φ = 707857920.

The previous prime is 2252873687. The next prime is 2252873743. The reversal of 2252873736 is 6373782522.

2252873736 is a `hidden beast` number, since 22 + 528 + 73 + 7 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2252873691 and 2252873700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1057120 + ... + 1059248.

It is an arithmetic number, because the mean of its divisors is an integer number (41752260).

Almost surely, 2^2252873736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252873736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340180800).

2252873736 is an abundant number, since it is smaller than the sum of its proper divisors (4427487864).

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

2252873736 is a wasteful number, since it uses less digits than its factorization.

2252873736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2228 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2252873736 is about 47464.4470735729. The cubic root of 2252873736 is about 1310.9283352371.

The spelling of 2252873736 in words is "two billion, two hundred fifty-two million, eight hundred seventy-three thousand, seven hundred thirty-six".