2258553024 has 448 divisors, whose sum is σ = 8356884480. Its totient is φ = 582266880.

The previous prime is 2258553023. The next prime is 2258553029. The reversal of 2258553024 is 4203558522.

It is a happy number.

2258553024 is a `hidden beast` number, since 2 + 2 + 585 + 53 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2258553024.

It is not an unprimeable number, because it can be changed into a prime (2258553023) by changing a digit.

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, 8334009 + ... + 8334279.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

Almost surely, 2^2258553024 is an apocalyptic number.

2258553024 is a gapful number since it is divisible by the number (24) 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 2258553024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178442240).

2258553024 is an abundant number, since it is smaller than the sum of its proper divisors (6098331456).

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

2258553024 is a wasteful number, since it uses less digits than its factorization.

2258553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2258553024 is about 47524.2361748193. The cubic root of 2258553024 is about 1312.0289875610.

The spelling of 2258553024 in words is "two billion, two hundred fifty-eight million, five hundred fifty-three thousand, twenty-four".