2668637970 has 96 divisors (see below), whose sum is σ = 7323900480. Its totient is φ = 672312960.

The previous prime is 2668637929. The next prime is 2668637977. The reversal of 2668637970 is 797368662.

2668637970 is a `hidden beast` number, since 266 + 8 + 6 + 379 + 7 + 0 = 666.

It is a super-2 number, since 2×2668637970² = 14243257229851441800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2668637977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676905 + ... + 680835.

It is an arithmetic number, because the mean of its divisors is an integer number (76290630).

Almost surely, 2^2668637970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668637970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661950240).

2668637970 is an abundant number, since it is smaller than the sum of its proper divisors (4655262510).

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

2668637970 is a wasteful number, since it uses less digits than its factorization.

2668637970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2668637970 is about 51658.8614857122. The cubic root of 2668637970 is about 1387.0641708828.

The spelling of 2668637970 in words is "two billion, six hundred sixty-eight million, six hundred thirty-seven thousand, nine hundred seventy".