2264323600 has 120 divisors (see below), whose sum is σ = 6782476608. Its totient is φ = 705753600.

The previous prime is 2264323597. The next prime is 2264323637. The reversal of 2264323600 is 63234622.

It is a super-2 number, since 2×2264323600² = 10254322731033920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5959 + ... + 67558.

Almost surely, 2^2264323600 is an apocalyptic number.

2264323600 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 2264323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391238304).

2264323600 is an abundant number, since it is smaller than the sum of its proper divisors (4518153008).

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

2264323600 is a wasteful number, since it uses less digits than its factorization.

2264323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73553 (or 73542 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2264323600 is about 47584.9093726152. The cubic root of 2264323600 is about 1313.1454433872.

It can be divided in two parts, 226432 and 3600, that added together give a palindrome (230032).

The spelling of 2264323600 in words is "two billion, two hundred sixty-four million, three hundred twenty-three thousand, six hundred".