2258731008 has 320 divisors, whose sum is σ = 7231918320. Its totient is φ = 700710912.

The previous prime is 2258731003. The next prime is 2258731019. The reversal of 2258731008 is 8001378522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258731003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61046766 + ... + 61046802.

Almost surely, 2^2258731008 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 2258731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615959160).

2258731008 is an abundant number, since it is smaller than the sum of its proper divisors (4973187312).

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

2258731008 is an frugal number, since it uses more digits than its factorization.

2258731008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2258731008 is about 47526.1086982724. The cubic root of 2258731008 is about 1312.0634512244.

The spelling of 2258731008 in words is "two billion, two hundred fifty-eight million, seven hundred thirty-one thousand, eight".