2166683766 has 96 divisors (see below), whose sum is σ = 4979895552. Its totient is φ = 626820480.

The previous prime is 2166683759. The next prime is 2166683773. The reversal of 2166683766 is 6673866612.

It is an interprime number because it is at equal distance from previous prime (2166683759) and next prime (2166683773).

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, 1421881 + ... + 1423403.

It is an arithmetic number, because the mean of its divisors is an integer number (51873912).

Almost surely, 2^2166683766 is an apocalyptic number.

2166683766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166683766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489947776).

2166683766 is an abundant number, since it is smaller than the sum of its proper divisors (2813211786).

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

2166683766 is a wasteful number, since it uses less digits than its factorization.

2166683766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 2166683766 is about 46547.6504885048. The cubic root of 2166683766 is about 1293.9927501551.

The spelling of 2166683766 in words is "two billion, one hundred sixty-six million, six hundred eighty-three thousand, seven hundred sixty-six".