2258689958400 has 960 divisors, whose sum is σ = 8206857584640. Its totient is φ = 545135001600.

The previous prime is 2258689958389. The next prime is 2258689958429. The reversal of 2258689958400 is 48599868522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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, 4836594967 + ... + 4836595433.

It is an arithmetic number, because the mean of its divisors is an integer number (8548809984).

Almost surely, 2^{2258689958400} is an apocalyptic number.

2258689958400 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 2258689958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103428792320).

2258689958400 is an abundant number, since it is smaller than the sum of its proper divisors (5948167626240).

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

2258689958400 is a wasteful number, since it uses less digits than its factorization.

2258689958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 66.

The spelling of 2258689958400 in words is "two trillion, two hundred fifty-eight billion, six hundred eighty-nine million, nine hundred fifty-eight thousand, four hundred".