2482771200 has 864 divisors, whose sum is σ = 10645152000. Its totient is φ = 505774080.

The previous prime is 2482771177. The next prime is 2482771201. The reversal of 2482771200 is 21772842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482771201) 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 95 ways as a sum of consecutive naturals, for example, 85612786 + ... + 85612814.

Almost surely, 2^2482771200 is an apocalyptic number.

2482771200 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 2482771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322576000).

2482771200 is an abundant number, since it is smaller than the sum of its proper divisors (8162380800).

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

2482771200 is a wasteful number, since it uses less digits than its factorization.

2482771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 2482771200 is about 49827.4141412135. The cubic root of 2482771200 is about 1354.0838748700.

The spelling of 2482771200 in words is "two billion, four hundred eighty-two million, seven hundred seventy-one thousand, two hundred".