2482022400 has 576 divisors, whose sum is σ = 9725002560. Its totient is φ = 550502400.

The previous prime is 2482022377. The next prime is 2482022401. The reversal of 2482022400 is 42202842.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2482022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21964744 + ... + 21964856.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 2^2482022400 is an apocalyptic number.

2482022400 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 2482022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2482022400 is an abundant number, since it is smaller than the sum of its proper divisors (7242980160).

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

2482022400 is a wasteful number, since it uses less digits than its factorization.

2482022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2482022400 is about 49819.8996385982. The cubic root of 2482022400 is about 1353.9477313063.

The spelling of 2482022400 in words is "two billion, four hundred eighty-two million, twenty-two thousand, four hundred".