2257004736 has 420 divisors, whose sum is σ = 8049111664. Its totient is φ = 612126720.

The previous prime is 2257004689. The next prime is 2257004753. The reversal of 2257004736 is 6374007522.

It is a happy number.

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 2257004736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55048876 + ... + 55048916.

Almost surely, 2^2257004736 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 2257004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024555832).

2257004736 is an abundant number, since it is smaller than the sum of its proper divisors (5792106928).

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

2257004736 is an equidigital number, since it uses as much as digits as its factorization.

2257004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2257004736 is about 47507.9439252006. The cubic root of 2257004736 is about 1311.7291107399.

The spelling of 2257004736 in words is "two billion, two hundred fifty-seven million, four thousand, seven hundred thirty-six".