2648579352 has 64 divisors (see below), whose sum is σ = 6959969280. Its totient is φ = 838286592.

The previous prime is 2648579341. The next prime is 2648579363. The reversal of 2648579352 is 2539758462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2648579341) and next prime (2648579363).

It is a junction number, because it is equal to n+sod(n) for n = 2648579295 and 2648579304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58113 + ... + 93135.

It is an arithmetic number, because the mean of its divisors is an integer number (108749520).

Almost surely, 2^2648579352 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 2648579352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479984640).

2648579352 is an abundant number, since it is smaller than the sum of its proper divisors (4311389928).

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

2648579352 is a wasteful number, since it uses less digits than its factorization.

2648579352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35188 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 2648579352 is about 51464.3503019323. The cubic root of 2648579352 is about 1383.5801724259.

The spelling of 2648579352 in words is "two billion, six hundred forty-eight million, five hundred seventy-nine thousand, three hundred fifty-two".