2290809600 has 378 divisors, whose sum is σ = 8518592796. Its totient is φ = 609638400.

The previous prime is 2290809593. The next prime is 2290809607. The reversal of 2290809600 is 69080922.

It is an interprime number because it is at equal distance from previous prime (2290809593) and next prime (2290809607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2290809607) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665355 + ... + 4665845.

Almost surely, 2^2290809600 is an apocalyptic number.

2290809600 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 2290809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259296398).

2290809600 is an abundant number, since it is smaller than the sum of its proper divisors (6227783196).

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

2290809600 is an frugal number, since it uses more digits than its factorization.

2290809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2290809600 is about 47862.4027813063. The cubic root of 2290809600 is about 1318.2456031687.

The spelling of 2290809600 in words is "two billion, two hundred ninety million, eight hundred nine thousand, six hundred".