2668640382 has 96 divisors (see below), whose sum is σ = 6266782080. Its totient is φ = 817689600.

The previous prime is 2668640369. The next prime is 2668640393. The reversal of 2668640382 is 2830468662.

2668640382 is a `hidden beast` number, since 266 + 8 + 6 + 4 + 0 + 382 = 666.

2668640382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2668640382² = 14243282976882211848, which contains 22 as substring.

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, 2441028 + ... + 2442120.

It is an arithmetic number, because the mean of its divisors is an integer number (65278980).

Almost surely, 2^2668640382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668640382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133391040).

2668640382 is an abundant number, since it is smaller than the sum of its proper divisors (3598141698).

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

2668640382 is a wasteful number, since it uses less digits than its factorization.

2668640382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2668640382 is about 51658.8848311692. The cubic root of 2668640382 is about 1387.0645887736.

The spelling of 2668640382 in words is "two billion, six hundred sixty-eight million, six hundred forty thousand, three hundred eighty-two".