2613849552 has 60 divisors (see below), whose sum is σ = 7745458500. Its totient is φ = 820030464.

The previous prime is 2613849527. The next prime is 2613849577. The reversal of 2613849552 is 2559483162.

2613849552 is a `hidden beast` number, since 2 + 6 + 13 + 84 + 9 + 552 = 666.

2613849552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2613849527) and next prime (2613849577).

It can be written as a sum of positive squares in 2 ways, for example, as 1627638336 + 986211216 = 40344^2 + 31404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2613849498 and 2613849507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531427 + ... + 536322.

It is an arithmetic number, because the mean of its divisors is an integer number (129090975).

Almost surely, 2^2613849552 is an apocalyptic number.

It is an amenable number.

2613849552 is an abundant number, since it is smaller than the sum of its proper divisors (5131608948).

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

2613849552 is a wasteful number, since it uses less digits than its factorization.

2613849552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067780 (or 1067771 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2613849552 is about 51125.8207953672. The cubic root of 2613849552 is about 1377.5060943974.

It can be divided in two parts, 2613 and 849552, that added together give a triangular number (852165 = T₁₃₀₅).

The spelling of 2613849552 in words is "two billion, six hundred thirteen million, eight hundred forty-nine thousand, five hundred fifty-two".