2482765824 has 304 divisors, whose sum is σ = 8455700736. Its totient is φ = 629145600.

The previous prime is 2482765811. The next prime is 2482765829. The reversal of 2482765824 is 4285672842.

It is a super-2 number, since 2×2482765824² = 12328252273644797952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1720320) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482765829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60555244 + ... + 60555284.

Almost surely, 2^2482765824 is an apocalyptic number.

2482765824 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 2482765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227850368).

2482765824 is an abundant number, since it is smaller than the sum of its proper divisors (5972934912).

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

2482765824 is an frugal number, since it uses more digits than its factorization.

2482765824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 2482765824 is about 49827.3601949772. The cubic root of 2482765824 is about 1354.0828975266.

The spelling of 2482765824 in words is "two billion, four hundred eighty-two million, seven hundred sixty-five thousand, eight hundred twenty-four".