2460007728 has 120 divisors (see below), whose sum is σ = 7204995200. Its totient is φ = 782576640.

The previous prime is 2460007699. The next prime is 2460007733. The reversal of 2460007728 is 8277000642.

2460007728 is a `hidden beast` number, since 24 + 600 + 0 + 7 + 7 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2460007692 and 2460007701.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 322098 + ... + 329646.

Almost surely, 2^2460007728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2460007728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602497600).

2460007728 is an abundant number, since it is smaller than the sum of its proper divisors (4744987472).

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

2460007728 is a wasteful number, since it uses less digits than its factorization.

2460007728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2460007728 is about 49598.4649762470. The cubic root of 2460007728 is about 1349.9328229947.

The spelling of 2460007728 in words is "two billion, four hundred sixty million, seven thousand, seven hundred twenty-eight".