2292481440 has 144 divisors (see below), whose sum is σ = 8112974688. Its totient is φ = 611318016.

The previous prime is 2292481439. The next prime is 2292481463. The reversal of 2292481440 is 441842922.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2292481395 and 2292481404.

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 23 ways as a sum of consecutive naturals, for example, 9399 + ... + 68361.

It is an arithmetic number, because the mean of its divisors is an integer number (56340102).

Almost surely, 2^2292481440 is an apocalyptic number.

2292481440 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 2292481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056487344).

2292481440 is an abundant number, since it is smaller than the sum of its proper divisors (5820493248).

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

2292481440 is an equidigital number, since it uses as much as digits as its factorization.

2292481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58993 (or 58973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2292481440 is about 47879.8646614629. The cubic root of 2292481440 is about 1318.5662117736.

The spelling of 2292481440 in words is "two billion, two hundred ninety-two million, four hundred eighty-one thousand, four hundred forty".