2264112900 has 216 divisors, whose sum is σ = 8372908544. Its totient is φ = 500774400.

The previous prime is 2264112881. The next prime is 2264112901. The reversal of 2264112900 is 92114622.

2264112900 is a `hidden beast` number, since 2 + 2 + 641 + 12 + 9 + 0 + 0 = 666.

2264112900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2264112901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189504 + ... + 201096.

Almost surely, 2^2264112900 is an apocalyptic number.

2264112900 is a gapful number since it is divisible by the number (20) 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 2264112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186454272).

2264112900 is an abundant number, since it is smaller than the sum of its proper divisors (6108795644).

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

2264112900 is a wasteful number, since it uses less digits than its factorization.

2264112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11651 (or 11641 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2264112900 is about 47582.6953839313. The cubic root of 2264112900 is about 1313.1047118228.

The spelling of 2264112900 in words is "two billion, two hundred sixty-four million, one hundred twelve thousand, nine hundred".