2258785872 has 320 divisors, whose sum is σ = 7856640000. Its totient is φ = 607606272.

The previous prime is 2258785871. The next prime is 2258785877. The reversal of 2258785872 is 2785878522.

2258785872 is a `hidden beast` number, since 2 + 2 + 58 + 7 + 8 + 587 + 2 = 666.

It is a super-2 number, since 2×2258785872² = 10204227231093600768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258785871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3770629 + ... + 3771227.

It is an arithmetic number, because the mean of its divisors is an integer number (24552000).

Almost surely, 2^2258785872 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 2258785872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320000).

2258785872 is an abundant number, since it is smaller than the sum of its proper divisors (5597854128).

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

2258785872 is a wasteful number, since it uses less digits than its factorization.

2258785872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The square root of 2258785872 is about 47526.6858932958. The cubic root of 2258785872 is about 1312.0740743672.

The spelling of 2258785872 in words is "two billion, two hundred fifty-eight million, seven hundred eighty-five thousand, eight hundred seventy-two".