2259207504 has 160 divisors (see below), whose sum is σ = 6672787200. Its totient is φ = 731566080.

The previous prime is 2259207497. The next prime is 2259207551. The reversal of 2259207504 is 4057029522.

It is a happy number.

It is a super-2 number, since 2×2259207504² = 10208037092259820032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238552 + ... + 2239560.

It is an arithmetic number, because the mean of its divisors is an integer number (41704920).

Almost surely, 2^2259207504 is an apocalyptic number.

2259207504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259207504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336393600).

2259207504 is an abundant number, since it is smaller than the sum of its proper divisors (4413579696).

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

2259207504 is a wasteful number, since it uses less digits than its factorization.

2259207504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2259207504 is about 47531.1214258616. The cubic root of 2259207504 is about 1312.1557078980.

The spelling of 2259207504 in words is "two billion, two hundred fifty-nine million, two hundred seven thousand, five hundred four".