2666810952 has 160 divisors (see below), whose sum is σ = 8136790200. Its totient is φ = 811109376.

The previous prime is 2666810947. The next prime is 2666810963. The reversal of 2666810952 is 2590186662.

2666810952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 857669796 + 1809141156 = 29286^2 + 42534^2 .

It is a super-2 number, since 2×2666810952² = 14223761307414292608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666810898 and 2666810907.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 747958 + ... + 751514.

Almost surely, 2^2666810952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666810952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068395100).

2666810952 is an abundant number, since it is smaller than the sum of its proper divisors (5469979248).

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

2666810952 is a wasteful number, since it uses less digits than its factorization.

2666810952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2666810952 is about 51641.1749672681. The cubic root of 2666810952 is about 1386.7475587159.

The spelling of 2666810952 in words is "two billion, six hundred sixty-six million, eight hundred ten thousand, nine hundred fifty-two".