2490305440 has 288 divisors, whose sum is σ = 7167061440. Its totient is φ = 814657536.

The previous prime is 2490305431. The next prime is 2490305479. The reversal of 2490305440 is 445030942.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27980916 + ... + 27981004.

It is an arithmetic number, because the mean of its divisors is an integer number (24885630).

Almost surely, 2^2490305440 is an apocalyptic number.

2490305440 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 2490305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583530720).

2490305440 is an abundant number, since it is smaller than the sum of its proper divisors (4676756000).

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

2490305440 is a wasteful number, since it uses less digits than its factorization.

2490305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2490305440 is about 49902.9602328359. The cubic root of 2490305440 is about 1355.4521967636.

The spelling of 2490305440 in words is "two billion, four hundred ninety million, three hundred five thousand, four hundred forty".