2297792000 has 320 divisors, whose sum is σ = 6863560704. Its totient is φ = 750182400.

The previous prime is 2297791997. The next prime is 2297792009. The reversal of 2297792000 is 2977922.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297792009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10303889 + ... + 10304111.

Almost surely, 2^2297792000 is an apocalyptic number.

2297792000 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 2297792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

2297792000 is an abundant number, since it is smaller than the sum of its proper divisors (4565768704).

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

2297792000 is an equidigital number, since it uses as much as digits as its factorization.

2297792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 2297792000 is about 47935.2897143639. The cubic root of 2297792000 is about 1319.5835845962.

The spelling of 2297792000 in words is "two billion, two hundred ninety-seven million, seven hundred ninety-two thousand".