2298243600 has 405 divisors, whose sum is σ = 8656387207. Its totient is φ = 564541440.

The previous prime is 2298243539. The next prime is 2298243613. The reversal of 2298243600 is 63428922.

The square root of 2298243600 is 47940.

It is a perfect power (a square), and thus also a powerful number.

2298243600 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 2 + 43 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53758224 + 2244485376 = 7332^2 + 47376^2 .

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

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 48898777 + ... + 48898823.

Almost surely, 2^2298243600 is an apocalyptic number.

2298243600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2298243600 is the 47940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298243600

2298243600 is an abundant number, since it is smaller than the sum of its proper divisors (6358143607).

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

2298243600 is a wasteful number, since it uses less digits than its factorization.

2298243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 2298243600 is about 1319.6700277136.

Multiplying 2298243600 by its sum of digits (36), we get a square (82736769600 = 287640²).

2298243600 divided by its sum of digits (36) gives a square (63840100 = 7990²).

The spelling of 2298243600 in words is "two billion, two hundred ninety-eight million, two hundred forty-three thousand, six hundred".