2258952000 has 224 divisors, whose sum is σ = 7586252544. Its totient is φ = 592128000.

The previous prime is 2258951977. The next prime is 2258952029. The reversal of 2258952000 is 2598522.

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, 1463229 + ... + 1464771.

Almost surely, 2^2258952000 is an apocalyptic number.

2258952000 is a gapful number since it is divisible by the number (20) 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 2258952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793126272).

2258952000 is an abundant number, since it is smaller than the sum of its proper divisors (5327300544).

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

2258952000 is a wasteful number, since it uses less digits than its factorization.

2258952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2258952000 is about 47528.4335950597. The cubic root of 2258952000 is about 1312.1062401576.

The spelling of 2258952000 in words is "two billion, two hundred fifty-eight million, nine hundred fifty-two thousand".