2400992500 has 60 divisors (see below), whose sum is σ = 5305154932. Its totient is φ = 950400000.

The previous prime is 2400992479. The next prime is 2400992519. The reversal of 2400992500 is 52990042.

It can be written as a sum of positive squares in 10 ways, for example, as 1241998564 + 1158993936 = 35242^2 + 34044^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237550 + ... + 247450.

Almost surely, 2^2400992500 is an apocalyptic number.

2400992500 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 2400992500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652577466).

2400992500 is an abundant number, since it is smaller than the sum of its proper divisors (2904162432).

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

2400992500 is an equidigital number, since it uses as much as digits as its factorization.

2400992500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 2400992500 is about 48999.9234693280. The cubic root of 2400992500 is about 1339.0504336745.

The spelling of 2400992500 in words is "two billion, four hundred million, nine hundred ninety-two thousand, five hundred".