2490639600 has 120 divisors (see below), whose sum is σ = 8129091312. Its totient is φ = 651622400.

The previous prime is 2490639589. The next prime is 2490639647. The reversal of 2490639600 is 69360942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 44020 + ... + 83180.

Almost surely, 2^2490639600 is an apocalyptic number.

2490639600 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 2490639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064545656).

2490639600 is an abundant number, since it is smaller than the sum of its proper divisors (5638451712).

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

2490639600 is a wasteful number, since it uses less digits than its factorization.

2490639600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39235 (or 39224 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 2490639600 is about 49906.3082185008. The cubic root of 2490639600 is about 1355.5128208730.

The spelling of 2490639600 in words is "two billion, four hundred ninety million, six hundred thirty-nine thousand, six hundred".