2294938800 has 720 divisors, whose sum is σ = 10534897152. Its totient is φ = 447897600.

The previous prime is 2294938787. The next prime is 2294938819. The reversal of 2294938800 is 88394922.

2294938800 is a `hidden beast` number, since 229 + 49 + 388 + 0 + 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 (45).

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, 4712157 + ... + 4712643.

Almost surely, 2^2294938800 is an apocalyptic number.

2294938800 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 2294938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267448576).

2294938800 is an abundant number, since it is smaller than the sum of its proper divisors (8239958352).

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

2294938800 is a wasteful number, since it uses less digits than its factorization.

2294938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2294938800 is about 47905.5195149786. The cubic root of 2294938800 is about 1319.0371766641.

The spelling of 2294938800 in words is "two billion, two hundred ninety-four million, nine hundred thirty-eight thousand, eight hundred".