2490302880 has 432 divisors, whose sum is σ = 9568147680. Its totient is φ = 611380224.

The previous prime is 2490302879. The next prime is 2490302911. The reversal of 2490302880 is 882030942.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6570531 + ... + 6570909.

It is an arithmetic number, because the mean of its divisors is an integer number (22148490).

Almost surely, 2^2490302880 is an apocalyptic number.

2490302880 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 2490302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784073840).

2490302880 is an abundant number, since it is smaller than the sum of its proper divisors (7077844800).

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

2490302880 is a wasteful number, since it uses less digits than its factorization.

2490302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2490302880 is about 49902.9345830483. The cubic root of 2490302880 is about 1355.4517323013.

The spelling of 2490302880 in words is "two billion, four hundred ninety million, three hundred two thousand, eight hundred eighty".