2482488000 has 336 divisors, whose sum is σ = 9216383904. Its totient is φ = 661478400.

The previous prime is 2482487999. The next prime is 2482488017. The reversal of 2482488000 is 8842842.

2482488000 = 306³ + 307³ + ... + 369³.

2482488000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943362 + ... + 1944638.

It is an arithmetic number, because the mean of its divisors is an integer number (27429714).

Almost surely, 2^2482488000 is an apocalyptic number.

2482488000 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 2482488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608191952).

2482488000 is an abundant number, since it is smaller than the sum of its proper divisors (6733895904).

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

2482488000 is an equidigital number, since it uses as much as digits as its factorization.

2482488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2482488000 is about 49824.5722510490. The cubic root of 2482488000 is about 1354.0323878951.

The spelling of 2482488000 in words is "two billion, four hundred eighty-two million, four hundred eighty-eight thousand".