2490963840 has 448 divisors, whose sum is σ = 9431715600. Its totient is φ = 627056640.

The previous prime is 2490963833. The next prime is 2490963841. The reversal of 2490963840 is 483690942.

2490963840 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 9 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490963841) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 8864500 + ... + 8864780.

Almost surely, 2^2490963840 is an apocalyptic number.

2490963840 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 2490963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715857800).

2490963840 is an abundant number, since it is smaller than the sum of its proper divisors (6940751760).

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

2490963840 is an equidigital number, since it uses as much as digits as its factorization.

2490963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2490963840 is about 49909.5565999138. The cubic root of 2490963840 is about 1355.5716400890.

The spelling of 2490963840 in words is "two billion, four hundred ninety million, nine hundred sixty-three thousand, eight hundred forty".