2482876800 has 576 divisors, whose sum is σ = 9576053760. Its totient is φ = 634521600.

The previous prime is 2482876787. The next prime is 2482876817. The reversal of 2482876800 is 86782842.

It is a happy number.

2482876800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105549 + ... + 24105651.

Almost surely, 2^2482876800 is an apocalyptic number.

2482876800 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 2482876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788026880).

2482876800 is an abundant number, since it is smaller than the sum of its proper divisors (7093176960).

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

2482876800 is a wasteful number, since it uses less digits than its factorization.

2482876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2482876800 is about 49828.4737875845. The cubic root of 2482876800 is about 1354.1030724008.

The spelling of 2482876800 in words is "two billion, four hundred eighty-two million, eight hundred seventy-six thousand, eight hundred".