2298182400 has 324 divisors, whose sum is σ = 8703552312. Its totient is φ = 576552960.

The previous prime is 2298182321. The next prime is 2298182461. The reversal of 2298182400 is 42818922.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978027 + ... + 980373.

Almost surely, 2^2298182400 is an apocalyptic number.

2298182400 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 2298182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351776156).

2298182400 is an abundant number, since it is smaller than the sum of its proper divisors (6405369912).

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

2298182400 is a wasteful number, since it uses less digits than its factorization.

2298182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2298182400 is about 47939.3616978783. The cubic root of 2298182400 is about 1319.6583137649.

The spelling of 2298182400 in words is "two billion, two hundred ninety-eight million, one hundred eighty-two thousand, four hundred".