2258627604480 has 832 divisors, whose sum is σ = 8849676971520. Its totient is φ = 542966022144.

The previous prime is 2258627604479. The next prime is 2258627604509. The reversal of 2258627604480 is 844067268522.

2258627604480 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 6 + 27 + 604 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309100987 + ... + 309108293.

Almost surely, 2^{2258627604480} is an apocalyptic number.

2258627604480 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 2258627604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424838485760).

2258627604480 is an abundant number, since it is smaller than the sum of its proper divisors (6591049367040).

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

2258627604480 is a wasteful number, since it uses less digits than its factorization.

2258627604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2258627604480 in words is "two trillion, two hundred fifty-eight billion, six hundred twenty-seven million, six hundred four thousand, four hundred eighty".