2259657144 has 48 divisors (see below), whose sum is σ = 6134188320. Its totient is φ = 751461120.

The previous prime is 2259657133. The next prime is 2259657161. The reversal of 2259657144 is 4417569522.

2259657144 is a `hidden beast` number, since 2 + 2 + 596 + 57 + 1 + 4 + 4 = 666.

2259657144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 2259657144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5377 + ... + 67440.

It is an arithmetic number, because the mean of its divisors is an integer number (127795590).

Almost surely, 2^2259657144 is an apocalyptic number.

2259657144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2259657144 is an abundant number, since it is smaller than the sum of its proper divisors (3874531176).

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

2259657144 is a wasteful number, since it uses less digits than its factorization.

2259657144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73260 (or 73253 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2259657144 is about 47535.8511441628. The cubic root of 2259657144 is about 1312.2427529576.

The spelling of 2259657144 in words is "two billion, two hundred fifty-nine million, six hundred fifty-seven thousand, one hundred forty-four".