2613848160 has 288 divisors, whose sum is σ = 10449637632. Its totient is φ = 543083520.

The previous prime is 2613848131. The next prime is 2613848197. The reversal of 2613848160 is 618483162.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 253669 + ... + 263771.

It is an arithmetic number, because the mean of its divisors is an integer number (36283464).

Almost surely, 2^2613848160 is an apocalyptic number.

2613848160 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 2613848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224818816).

2613848160 is an abundant number, since it is smaller than the sum of its proper divisors (7835789472).

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

2613848160 is a wasteful number, since it uses less digits than its factorization.

2613848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10131 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2613848160 is about 51125.8071818920. The cubic root of 2613848160 is about 1377.5058498681.

The spelling of 2613848160 in words is "two billion, six hundred thirteen million, eight hundred forty-eight thousand, one hundred sixty".