2491992000 has 448 divisors, whose sum is σ = 9319564800. Its totient is φ = 651801600.

The previous prime is 2491991993. The next prime is 2491992007. The reversal of 2491992000 is 2991942.

It is an interprime number because it is at equal distance from previous prime (2491991993) and next prime (2491992007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491992007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17927931 + ... + 17928069.

It is an arithmetic number, because the mean of its divisors is an integer number (20802600).

Almost surely, 2^2491992000 is an apocalyptic number.

2491992000 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 2491992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659782400).

2491992000 is an abundant number, since it is smaller than the sum of its proper divisors (6827572800).

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

2491992000 is a wasteful number, since it uses less digits than its factorization.

2491992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2491992000 is about 49919.8557690224. The cubic root of 2491992000 is about 1355.7581211612.

The spelling of 2491992000 in words is "two billion, four hundred ninety-one million, nine hundred ninety-two thousand".