2682617652 has 144 divisors (see below), whose sum is σ = 8013358080. Its totient is φ = 745977600.

The previous prime is 2682617647. The next prime is 2682617677. The reversal of 2682617652 is 2567162862.

2682617652 is a `hidden beast` number, since 26 + 8 + 2 + 617 + 6 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2682617598 and 2682617607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930349 + ... + 933227.

It is an arithmetic number, because the mean of its divisors is an integer number (55648320).

Almost surely, 2^2682617652 is an apocalyptic number.

2682617652 is a gapful number since it is divisible by the number (22) 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 2682617652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006679040).

2682617652 is an abundant number, since it is smaller than the sum of its proper divisors (5330740428).

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

2682617652 is a wasteful number, since it uses less digits than its factorization.

2682617652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3089 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2682617652 is about 51793.9924315552. The cubic root of 2682617652 is about 1389.4820028709.

The spelling of 2682617652 in words is "two billion, six hundred eighty-two million, six hundred seventeen thousand, six hundred fifty-two".