2613848328 has 384 divisors, whose sum is σ = 9535518720. Its totient is φ = 627056640.

The previous prime is 2613848309. The next prime is 2613848351. The reversal of 2613848328 is 8238483162.

2613848328 is a `hidden beast` number, since 2 + 613 + 8 + 4 + 8 + 3 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 3452526 + ... + 3453282.

It is an arithmetic number, because the mean of its divisors is an integer number (24832080).

Almost surely, 2^2613848328 is an apocalyptic number.

2613848328 is a gapful number since it is divisible by the number (28) 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 2613848328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767759360).

2613848328 is an abundant number, since it is smaller than the sum of its proper divisors (6921670392).

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

2613848328 is a wasteful number, since it uses less digits than its factorization.

2613848328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2613848328 is about 51125.8088248978. The cubic root of 2613848328 is about 1377.5058793802.

The spelling of 2613848328 in words is "two billion, six hundred thirteen million, eight hundred forty-eight thousand, three hundred twenty-eight".