2258618236900 has 27 divisors (see below), whose sum is σ = 4901234186569. Its totient is φ = 903441283280.

The previous prime is 2258618236877. The next prime is 2258618236909. The reversal of 2258618236900 is 96328168522.

The square root of 2258618236900 is 1502870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 813102565284 + 1445515671616 = 901722^2 + 1202296^2 .

It is a super-2 number, since 2×2258618236900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2258618236909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14953557 + ... + 15103843.

Almost surely, 2^{2258618236900} is an apocalyptic number.

2258618236900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2258618236900 is the 1502870-th square number.

It is an amenable number.

2258618236900 is an abundant number, since it is smaller than the sum of its proper divisors (2642615949669).

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

2258618236900 is an frugal number, since it uses more digits than its factorization.

2258618236900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300588 (or 150294 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 2258618236900 in words is "two trillion, two hundred fifty-eight billion, six hundred eighteen million, two hundred thirty-six thousand, nine hundred".