2613977344 has 72 divisors (see below), whose sum is σ = 5705850528. Its totient is φ = 1185300480.

The previous prime is 2613977323. The next prime is 2613977407. The reversal of 2613977344 is 4437793162.

It is a junction number, because it is equal to n+sod(n) for n = 2613977294 and 2613977303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539504 + ... + 1541200.

It is an arithmetic number, because the mean of its divisors is an integer number (79247924).

Almost surely, 2^2613977344 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 2613977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852925264).

2613977344 is an abundant number, since it is smaller than the sum of its proper divisors (3091873184).

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

2613977344 is a wasteful number, since it uses less digits than its factorization.

2613977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2257 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The square root of 2613977344 is about 51127.0705595382. The cubic root of 2613977344 is about 1377.5285429465.

The spelling of 2613977344 in words is "two billion, six hundred thirteen million, nine hundred seventy-seven thousand, three hundred forty-four".