2430490000 has 225 divisors, whose sum is σ = 6473948767. Its totient is φ = 883456000.

The previous prime is 2430489979. The next prime is 2430490001. The reversal of 2430490000 is 940342.

The square root of 2430490000 is 49300.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2427335824 + 3154176 = 49268^2 + 1776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2430490001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83809986 + ... + 83810014.

Almost surely, 2^2430490000 is an apocalyptic number.

2430490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2430490000 is the 49300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430490000

2430490000 is an abundant number, since it is smaller than the sum of its proper divisors (4043458767).

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

2430490000 is an equidigital number, since it uses as much as digits as its factorization.

2430490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 2430490000 is about 1344.5117836686.

The spelling of 2430490000 in words is "two billion, four hundred thirty million, four hundred ninety thousand".