2258894400 has 672 divisors, whose sum is σ = 9191792640. Its totient is φ = 474439680.

The previous prime is 2258894371. The next prime is 2258894459. The reversal of 2258894400 is 44988522.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28593561 + ... + 28593639.

Almost surely, 2^2258894400 is an apocalyptic number.

2258894400 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 2258894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595896320).

2258894400 is an abundant number, since it is smaller than the sum of its proper divisors (6932898240).

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

2258894400 is a wasteful number, since it uses less digits than its factorization.

2258894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2258894400 is about 47527.8276381322. The cubic root of 2258894400 is about 1312.0950877940.

The spelling of 2258894400 in words is "two billion, two hundred fifty-eight million, eight hundred ninety-four thousand, four hundred".