2250632736 has 192 divisors, whose sum is σ = 7393075200. Its totient is φ = 659923200.

The previous prime is 2250632723. The next prime is 2250632749. The reversal of 2250632736 is 6372360522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2250632723) and next prime (2250632749).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2250632736.

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 31 ways as a sum of consecutive naturals, for example, 290805 + ... + 298443.

It is an arithmetic number, because the mean of its divisors is an integer number (38505600).

Almost surely, 2^2250632736 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 2250632736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696537600).

2250632736 is an abundant number, since it is smaller than the sum of its proper divisors (5142442464).

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

2250632736 is a wasteful number, since it uses less digits than its factorization.

2250632736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2250632736 is about 47440.8340567490. The cubic root of 2250632736 is about 1310.4935179941.

The spelling of 2250632736 in words is "two billion, two hundred fifty million, six hundred thirty-two thousand, seven hundred thirty-six".