2298315600 has 720 divisors, whose sum is σ = 9833567040. Its totient is φ = 508032000.

The previous prime is 2298315589. The next prime is 2298315631. The reversal of 2298315600 is 65138922.

2298315600 is a `hidden beast` number, since 2 + 2 + 98 + 3 + 1 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22755550 + ... + 22755650.

It is an arithmetic number, because the mean of its divisors is an integer number (13657732).

Almost surely, 2^2298315600 is an apocalyptic number.

2298315600 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 2298315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916783520).

2298315600 is an abundant number, since it is smaller than the sum of its proper divisors (7535251440).

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

2298315600 is a wasteful number, since it uses less digits than its factorization.

2298315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

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

The square root of 2298315600 is about 47940.7509327920. The cubic root of 2298315600 is about 1319.6838085634.

It can be divided in two parts, 22983 and 15600, that added together give a palindrome (38583).

The spelling of 2298315600 in words is "two billion, two hundred ninety-eight million, three hundred fifteen thousand, six hundred".