2264799600 has 540 divisors, whose sum is σ = 9416823624. Its totient is φ = 502225920.

The previous prime is 2264799599. The next prime is 2264799617. The reversal of 2264799600 is 69974622.

2264799600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2264799600⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6526627 + ... + 6526973.

Almost surely, 2^2264799600 is an apocalyptic number.

2264799600 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 2264799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708411812).

2264799600 is an abundant number, since it is smaller than the sum of its proper divisors (7152024024).

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

2264799600 is a wasteful number, since it uses less digits than its factorization.

2264799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2264799600 is about 47589.9106954405. The cubic root of 2264799600 is about 1313.2374522380.

The spelling of 2264799600 in words is "two billion, two hundred sixty-four million, seven hundred ninety-nine thousand, six hundred".