2258268402432 has 288 divisors, whose sum is σ = 7039424544768. Its totient is φ = 629247725568.

The previous prime is 2258268402431. The next prime is 2258268402449. The reversal of 2258268402432 is 2342048628522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2258268402431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157880593 + ... + 157894895.

It is an arithmetic number, because the mean of its divisors is an integer number (24442446336).

Almost surely, 2^{2258268402432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258268402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519712272384).

2258268402432 is an abundant number, since it is smaller than the sum of its proper divisors (4781156142336).

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

2258268402432 is a wasteful number, since it uses less digits than its factorization.

2258268402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15041 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 2258268402432 in words is "two trillion, two hundred fifty-eight billion, two hundred sixty-eight million, four hundred two thousand, four hundred thirty-two".