2258452800 has 336 divisors, whose sum is σ = 8594628480. Its totient is φ = 575815680.

The previous prime is 2258452787. The next prime is 2258452829. The reversal of 2258452800 is 82548522.

2258452800 is a `hidden beast` number, since 22 + 584 + 52 + 8 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992464 + ... + 994736.

Almost surely, 2^2258452800 is an apocalyptic number.

2258452800 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 2258452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297314240).

2258452800 is an abundant number, since it is smaller than the sum of its proper divisors (6336175680).

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

2258452800 is a wasteful number, since it uses less digits than its factorization.

2258452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2258452800 is about 47523.1817116657. The cubic root of 2258452800 is about 1312.0095800411.

The spelling of 2258452800 in words is "two billion, two hundred fifty-eight million, four hundred fifty-two thousand, eight hundred".