2666813970 has 96 divisors (see below), whose sum is σ = 7157275200. Its totient is φ = 634051584.

The previous prime is 2666813969. The next prime is 2666813971. The reversal of 2666813970 is 793186662.

2666813970 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 (2666813969) and next prime (2666813971).

It is a super-2 number, since 2×2666813970² = 14223793501174321800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2666813971) 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, 156636 + ... + 172824.

It is an arithmetic number, because the mean of its divisors is an integer number (74554950).

Almost surely, 2^2666813970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666813970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578637600).

2666813970 is an abundant number, since it is smaller than the sum of its proper divisors (4490461230).

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

2666813970 is a wasteful number, since it uses less digits than its factorization.

2666813970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2666813970 is about 51641.2041881287. The cubic root of 2666813970 is about 1386.7480818379.

The spelling of 2666813970 in words is "two billion, six hundred sixty-six million, eight hundred thirteen thousand, nine hundred seventy".