2498976000 has 216 divisors, whose sum is σ = 8993080824. Its totient is φ = 666316800.

The previous prime is 2498975989. The next prime is 2498976001. The reversal of 2498976000 is 6798942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272646144 + 2226329856 = 16512^2 + 47184^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2498976001) 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 23 ways as a sum of consecutive naturals, for example, 283662 + ... + 292338.

Almost surely, 2^2498976000 is an apocalyptic number.

2498976000 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 2498976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496540412).

2498976000 is an abundant number, since it is smaller than the sum of its proper divisors (6494104824).

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

2498976000 is an equidigital number, since it uses as much as digits as its factorization.

2498976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2498976000 is about 49989.7589512092. The cubic root of 2498976000 is about 1357.0234787489.

The spelling of 2498976000 in words is "two billion, four hundred ninety-eight million, nine hundred seventy-six thousand".