2258458567040 has 192 divisors, whose sum is σ = 5888492089200. Its totient is φ = 827887656960.

The previous prime is 2258458567037. The next prime is 2258458567091. The reversal of 2258458567040 is 407658548522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14959130 + ... + 15109350.

Almost surely, 2^{2258458567040} is an apocalyptic number.

2258458567040 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 2258458567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944246044600).

2258458567040 is an abundant number, since it is smaller than the sum of its proper divisors (3630033522160).

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

2258458567040 is a wasteful number, since it uses less digits than its factorization.

2258458567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150405 (or 150380 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 56.

The spelling of 2258458567040 in words is "two trillion, two hundred fifty-eight billion, four hundred fifty-eight million, five hundred sixty-seven thousand, forty".