2264780800 has 156 divisors (see below), whose sum is σ = 5950892556. Its totient is φ = 851968000.

The previous prime is 2264780761. The next prime is 2264780801. The reversal of 2264780800 is 80874622.

It can be written as a sum of positive squares in 6 ways, for example, as 291999744 + 1972781056 = 17088^2 + 44416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2264780800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264780801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1740150 + ... + 1741450.

Almost surely, 2^2264780800 is an apocalyptic number.

2264780800 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 2264780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975446278).

2264780800 is an abundant number, since it is smaller than the sum of its proper divisors (3686111756).

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

2264780800 is a wasteful number, since it uses less digits than its factorization.

2264780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2264780800 is about 47589.7131741724. The cubic root of 2264780800 is about 1313.2338185195.

The spelling of 2264780800 in words is "two billion, two hundred sixty-four million, seven hundred eighty thousand, eight hundred".