2258949577392 has 240 divisors, whose sum is σ = 6453003648000. Its totient is φ = 737541282816.

The previous prime is 2258949577337. The next prime is 2258949577393. The reversal of 2258949577392 is 2937759498522.

2258949577392 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 9 + 49 + 577 + 3 + 9 + 2 = 666.

2258949577392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2258949577392.

It is not an unprimeable number, because it can be changed into a prime (2258949577393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403945484 + ... + 1403947092.

It is an arithmetic number, because the mean of its divisors is an integer number (26887515200).

Almost surely, 2^{2258949577392} 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 2258949577392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226501824000).

2258949577392 is an abundant number, since it is smaller than the sum of its proper divisors (4194054070608).

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

2258949577392 is a wasteful number, since it uses less digits than its factorization.

2258949577392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2599 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 2258949577392 in words is "two trillion, two hundred fifty-eight billion, nine hundred forty-nine million, five hundred seventy-seven thousand, three hundred ninety-two".