2613195648 has 256 divisors, whose sum is σ = 8904192000. Its totient is φ = 739031040.

The previous prime is 2613195631. The next prime is 2613195667. The reversal of 2613195648 is 8465913162.

It is a super-2 number, since 2×2613195648² = 13657582989452279808, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2636433 + ... + 2637423.

It is an arithmetic number, because the mean of its divisors is an integer number (34782000).

Almost surely, 2^2613195648 is an apocalyptic number.

2613195648 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 2613195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452096000).

2613195648 is an abundant number, since it is smaller than the sum of its proper divisors (6290996352).

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

2613195648 is a wasteful number, since it uses less digits than its factorization.

2613195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1112 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2613195648 is about 51119.4253488828. The cubic root of 2613195648 is about 1377.3912150657.

The spelling of 2613195648 in words is "two billion, six hundred thirteen million, one hundred ninety-five thousand, six hundred forty-eight".