2292242400 has 216 divisors, whose sum is σ = 9237939984. Its totient is φ = 523929600.

The previous prime is 2292242383. The next prime is 2292242411. The reversal of 2292242400 is 42422922.

It is a happy number.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 27660 + ... + 73140.

Almost surely, 2^2292242400 is an apocalyptic number.

2292242400 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 2292242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618969992).

2292242400 is an abundant number, since it is smaller than the sum of its proper divisors (6945697584).

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

2292242400 is a wasteful number, since it uses less digits than its factorization.

2292242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45514 (or 45498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2292242400 is about 47877.3683487303. The cubic root of 2292242400 is about 1318.5203806467.

The spelling of 2292242400 in words is "two billion, two hundred ninety-two million, two hundred forty-two thousand, four hundred".