2482099200 has 924 divisors, whose sum is σ = 11097360160. Its totient is φ = 537477120.

The previous prime is 2482099199. The next prime is 2482099201. The reversal of 2482099200 is 29902842.

2482099200 is a `hidden beast` number, since 248 + 209 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2482099199) and next prime (2482099201).

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 (2482099201) 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 83 ways as a sum of consecutive naturals, for example, 130636791 + ... + 130636809.

Almost surely, 2^2482099200 is an apocalyptic number.

2482099200 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 2482099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548680080).

2482099200 is an abundant number, since it is smaller than the sum of its proper divisors (8615260960).

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

2482099200 is an equidigital number, since it uses as much as digits as its factorization.

2482099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2482099200 is about 49820.6704089778. The cubic root of 2482099200 is about 1353.9616960088.

The spelling of 2482099200 in words is "two billion, four hundred eighty-two million, ninety-nine thousand, two hundred".