2166713640 has 576 divisors, whose sum is σ = 9280252800. Its totient is φ = 425751552.

The previous prime is 2166713629. The next prime is 2166713701. The reversal of 2166713640 is 463176612.

It is a happy number.

2166713640 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 7 + 1 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2166713595 and 2166713604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36723931 + ... + 36723989.

It is an arithmetic number, because the mean of its divisors is an integer number (16111550).

Almost surely, 2^2166713640 is an apocalyptic number.

2166713640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640126400).

2166713640 is an abundant number, since it is smaller than the sum of its proper divisors (7113539160).

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

2166713640 is a wasteful number, since it uses less digits than its factorization.

2166713640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2166713640 is about 46547.9713843686. The cubic root of 2166713640 is about 1293.9986972715.

It can be divided in two parts, 2166 and 713640, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 2166713640 in words is "two billion, one hundred sixty-six million, seven hundred thirteen thousand, six hundred forty".