2292494400 has 945 divisors, whose sum is σ = 10345479309. Its totient is φ = 496419840.

The previous prime is 2292494357. The next prime is 2292494401. The reversal of 2292494400 is 44942922.

The square root of 2292494400 is 47880.

It is a perfect power (a square), and thus also a powerful number.

2292494400 is a `hidden beast` number, since 2 + 2 + 9 + 249 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 1467196416 = 28728^2 + 38304^2 .

It is a tau number, because it is divible by the number of its divisors (945).

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

It is not an unprimeable number, because it can be changed into a prime (2292494401) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 120657591 + ... + 120657609.

Almost surely, 2^2292494400 is an apocalyptic number.

2292494400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2292494400 is the 47880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292494400

2292494400 is an abundant number, since it is smaller than the sum of its proper divisors (8052984909).

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

2292494400 is a wasteful number, since it uses less digits than its factorization.

2292494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 2292494400 is about 1318.5686965026.

Multiplying 2292494400 by its sum of digits (36), we get a square (82529798400 = 287280²).

2292494400 divided by its sum of digits (36) gives a square (63680400 = 7980²).

The spelling of 2292494400 in words is "two billion, two hundred ninety-two million, four hundred ninety-four thousand, four hundred".