2298513600 has 504 divisors, whose sum is σ = 8909588480. Its totient is φ = 559872000.

The previous prime is 2298513599. The next prime is 2298513647. The reversal of 2298513600 is 63158922.

2298513600 is a `hidden beast` number, since 2 + 298 + 5 + 1 + 360 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8481465 + ... + 8481735.

Almost surely, 2^2298513600 is an apocalyptic number.

2298513600 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 2298513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454794240).

2298513600 is an abundant number, since it is smaller than the sum of its proper divisors (6611074880).

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

2298513600 is a wasteful number, since it uses less digits than its factorization.

2298513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2298513600 is about 47942.8159373227. The cubic root of 2298513600 is about 1319.7217044165.

It can be divided in two parts, 22985 and 13600, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 2298513600 in words is "two billion, two hundred ninety-eight million, five hundred thirteen thousand, six hundred".