2491084800 has 624 divisors, whose sum is σ = 9872448480. Its totient is φ = 613416960.

The previous prime is 2491084793. The next prime is 2491084819. The reversal of 2491084800 is 84801942.

2491084800 = 92³ + 93³ + ... + 316³.

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

It is a congruent number.

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, 47001574 + ... + 47001626.

Almost surely, 2^2491084800 is an apocalyptic number.

2491084800 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 2491084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936224240).

2491084800 is an abundant number, since it is smaller than the sum of its proper divisors (7381363680).

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

2491084800 is a wasteful number, since it uses less digits than its factorization.

2491084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2491084800 is about 49910.7683771749. The cubic root of 2491084800 is about 1355.5935817017.

The spelling of 2491084800 in words is "two billion, four hundred ninety-one million, eighty-four thousand, eight hundred".