2490009600 has 576 divisors, whose sum is σ = 9383774400. Its totient is φ = 578027520.

The previous prime is 2490009583. The next prime is 2490009623. The reversal of 2490009600 is 69000942.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 57907179 + ... + 57907221.

It is an arithmetic number, because the mean of its divisors is an integer number (16291275).

Almost surely, 2^2490009600 is an apocalyptic number.

2490009600 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 2490009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691887200).

2490009600 is an abundant number, since it is smaller than the sum of its proper divisors (6893764800).

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

2490009600 is a wasteful number, since it uses less digits than its factorization.

2490009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2490009600 is about 49899.9959919838. The cubic root of 2490009600 is about 1355.3985202344.

The spelling of 2490009600 in words is "two billion, four hundred ninety million, nine thousand, six hundred".