2258953000 has 32 divisors (see below), whose sum is σ = 5285952360. Its totient is φ = 903580800.

The previous prime is 2258952977. The next prime is 2258953019. The reversal of 2258953000 is 3598522.

It can be written as a sum of positive squares in 4 ways, for example, as 264973284 + 1993979716 = 16278^2 + 44654^2 .

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 7 ways as a sum of consecutive naturals, for example, 1128477 + ... + 1130476.

Almost surely, 2^2258953000 is an apocalyptic number.

2258953000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258953000 is an abundant number, since it is smaller than the sum of its proper divisors (3026999360).

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

2258953000 is a wasteful number, since it uses less digits than its factorization.

2258953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258974 (or 2258960 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2258953000 is about 47528.4441150770. Note that the first 3 decimals coincide. The cubic root of 2258953000 is about 1312.1064337733.

The spelling of 2258953000 in words is "two billion, two hundred fifty-eight million, nine hundred fifty-three thousand".