2292734400 has 336 divisors, whose sum is σ = 8286219648. Its totient is φ = 550400000.

The previous prime is 2292734387. The next prime is 2292734417. The reversal of 2292734400 is 44372922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9134275 + ... + 9134525.

It is an arithmetic number, because the mean of its divisors is an integer number (24661368).

Almost surely, 2^2292734400 is an apocalyptic number.

2292734400 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 2292734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143109824).

2292734400 is an abundant number, since it is smaller than the sum of its proper divisors (5993485248).

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

2292734400 is a wasteful number, since it uses less digits than its factorization.

2292734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2292734400 is about 47882.5062000727. The cubic root of 2292734400 is about 1318.6147083118.

The spelling of 2292734400 in words is "two billion, two hundred ninety-two million, seven hundred thirty-four thousand, four hundred".