2257264100 has 72 divisors (see below), whose sum is σ = 6028655808. Its totient is φ = 714384000.

The previous prime is 2257264033. The next prime is 2257264109. The reversal of 2257264100 is 14627522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2257264109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114926 + ... + 133125.

Almost surely, 2^2257264100 is an apocalyptic number.

2257264100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257264100 is an abundant number, since it is smaller than the sum of its proper divisors (3771391708).

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

2257264100 is a wasteful number, since it uses less digits than its factorization.

2257264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248085 (or 248078 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2257264100 is about 47510.6735376378. The cubic root of 2257264100 is about 1311.7793546572.

The spelling of 2257264100 in words is "two billion, two hundred fifty-seven million, two hundred sixty-four thousand, one hundred".