2258779407552 has 896 divisors, whose sum is σ = 7405879219200. Its totient is φ = 673040793600.

The previous prime is 2258779407541. The next prime is 2258779407587. The reversal of 2258779407552 is 2557049778522.

2258779407552 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 7 + 79 + 4 + 0 + 7 + 552 = 666.

It is a super-2 number, since 2×2258779407552² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2258779407552.

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 127 ways as a sum of consecutive naturals, for example, 3268855527 + ... + 3268856217.

It is an arithmetic number, because the mean of its divisors is an integer number (8265490200).

Almost surely, 2^{2258779407552} 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 2258779407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702939609600).

2258779407552 is an abundant number, since it is smaller than the sum of its proper divisors (5147099811648).

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

2258779407552 is a wasteful number, since it uses less digits than its factorization.

2258779407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 2258779407552 in words is "two trillion, two hundred fifty-eight billion, seven hundred seventy-nine million, four hundred seven thousand, five hundred fifty-two".