2292319440 has 200 divisors, whose sum is σ = 8430297480. Its totient is φ = 575299584.

The previous prime is 2292319387. The next prime is 2292319451. The reversal of 2292319440 is 449132922.

It can be written as a sum of positive squares in 4 ways, for example, as 254338704 + 2037980736 = 15948^2 + 45144^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2292319395 and 2292319404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99756 + ... + 120564.

Almost surely, 2^2292319440 is an apocalyptic number.

2292319440 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 2292319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215148740).

2292319440 is an abundant number, since it is smaller than the sum of its proper divisors (6137978040).

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

2292319440 is a wasteful number, since it uses less digits than its factorization.

2292319440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20851 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2292319440 is about 47878.1728974697. The cubic root of 2292319440 is about 1318.5351518699.

The spelling of 2292319440 in words is "two billion, two hundred ninety-two million, three hundred nineteen thousand, four hundred forty".