2482819584 has 240 divisors, whose sum is σ = 7863121728. Its totient is φ = 681467904.

The previous prime is 2482819583. The next prime is 2482819597. The reversal of 2482819584 is 4859182842.

Its product of digits (1474560) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2482819583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31428057 + ... + 31428135.

Almost surely, 2^2482819584 is an apocalyptic number.

2482819584 is a gapful number since it is divisible by the number (24) 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 2482819584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931560864).

2482819584 is an abundant number, since it is smaller than the sum of its proper divisors (5380302144).

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

2482819584 is an frugal number, since it uses more digits than its factorization.

2482819584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 128 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 2482819584 is about 49827.8996547115. The cubic root of 2482819584 is about 1354.0926708971.

The spelling of 2482819584 in words is "two billion, four hundred eighty-two million, eight hundred nineteen thousand, five hundred eighty-four".