2264774600 has 96 divisors (see below), whose sum is σ = 5756819040. Its totient is φ = 821760000.

The previous prime is 2264774599. The next prime is 2264774647. The reversal of 2264774600 is 64774622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413800 + ... + 1415400.

It is an arithmetic number, because the mean of its divisors is an integer number (59966865).

Almost surely, 2^2264774600 is an apocalyptic number.

2264774600 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 2264774600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878409520).

2264774600 is an abundant number, since it is smaller than the sum of its proper divisors (3492044440).

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

2264774600 is a wasteful number, since it uses less digits than its factorization.

2264774600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 2264774600 is about 47589.6480340000. The cubic root of 2264774600 is about 1313.2326201611.

The spelling of 2264774600 in words is "two billion, two hundred sixty-four million, seven hundred seventy-four thousand, six hundred".