2259205344 has 480 divisors, whose sum is σ = 7903526400. Its totient is φ = 625397760.

The previous prime is 2259205331. The next prime is 2259205363. The reversal of 2259205344 is 4435029522.

2259205344 is a `hidden beast` number, since 22 + 592 + 0 + 5 + 3 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2259205299 and 2259205308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28597497 + ... + 28597575.

It is an arithmetic number, because the mean of its divisors is an integer number (16465680).

Almost surely, 2^2259205344 is an apocalyptic number.

2259205344 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 2259205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951763200).

2259205344 is an abundant number, since it is smaller than the sum of its proper divisors (5644321056).

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

2259205344 is a wasteful number, since it uses less digits than its factorization.

2259205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2259205344 is about 47531.0987039012. The cubic root of 2259205344 is about 1312.1552897194.

The spelling of 2259205344 in words is "two billion, two hundred fifty-nine million, two hundred five thousand, three hundred forty-four".