2166753732 has 288 divisors, whose sum is σ = 6445910016. Its totient is φ = 560102400.

The previous prime is 2166753727. The next prime is 2166753739. The reversal of 2166753732 is 2373576612.

Its product of digits (317520) is a multiple of the sum of its prime divisors (196).

It is not an unprimeable number, because it can be changed into a prime (2166753739) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21036393 + ... + 21036495.

It is an arithmetic number, because the mean of its divisors is an integer number (22381632).

Almost surely, 2^2166753732 is an apocalyptic number.

2166753732 is a gapful number since it is divisible by the number (22) 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 2166753732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222955008).

2166753732 is an abundant number, since it is smaller than the sum of its proper divisors (4279156284).

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

2166753732 is a wasteful number, since it uses less digits than its factorization.

2166753732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 2166753732 is about 46548.4020348712. The cubic root of 2166753732 is about 1294.0066784332.

The spelling of 2166753732 in words is "two billion, one hundred sixty-six million, seven hundred fifty-three thousand, seven hundred thirty-two".