2490480000 has 320 divisors, whose sum is σ = 9192994800. Its totient is φ = 663552000.

The previous prime is 2490479987. The next prime is 2490480011. The reversal of 2490480000 is 840942.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2159424 + ... + 2160576.

Almost surely, 2^2490480000 is an apocalyptic number.

2490480000 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 2490480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596497400).

2490480000 is an abundant number, since it is smaller than the sum of its proper divisors (6702514800).

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

2490480000 is an equidigital number, since it uses as much as digits as its factorization.

2490480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2490480000 is about 49904.7091966279. The cubic root of 2490480000 is about 1355.4838665343.

The spelling of 2490480000 in words is "two billion, four hundred ninety million, four hundred eighty thousand".