2290507440 has 320 divisors, whose sum is σ = 8129479680. Its totient is φ = 529182720.

The previous prime is 2290507421. The next prime is 2290507441. The reversal of 2290507440 is 447050922.

It is not an unprimeable number, because it can be changed into a prime (2290507441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4233570 + ... + 4234110.

It is an arithmetic number, because the mean of its divisors is an integer number (25404624).

Almost surely, 2^2290507440 is an apocalyptic number.

2290507440 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 2290507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064739840).

2290507440 is an abundant number, since it is smaller than the sum of its proper divisors (5838972240).

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

2290507440 is a wasteful number, since it uses less digits than its factorization.

2290507440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2290507440 is about 47859.2461286218. The cubic root of 2290507440 is about 1318.1876413305.

The spelling of 2290507440 in words is "two billion, two hundred ninety million, five hundred seven thousand, four hundred forty".