2259764352 has 128 divisors (see below), whose sum is σ = 6959664000. Its totient is φ = 720479232.

The previous prime is 2259764317. The next prime is 2259764363. The reversal of 2259764352 is 2534679522.

2259764352 is a `hidden beast` number, since 2 + 2 + 597 + 6 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2259764298 and 2259764307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65274 + ... + 93702.

It is an arithmetic number, because the mean of its divisors is an integer number (54372375).

Almost surely, 2^2259764352 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 2259764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479832000).

2259764352 is an abundant number, since it is smaller than the sum of its proper divisors (4699899648).

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

2259764352 is a wasteful number, since it uses less digits than its factorization.

2259764352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28475 (or 28457 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2259764352 is about 47536.9787849417. The cubic root of 2259764352 is about 1312.2635054711.

The spelling of 2259764352 in words is "two billion, two hundred fifty-nine million, seven hundred sixty-four thousand, three hundred fifty-two".