2166929952 has 144 divisors (see below), whose sum is σ = 6317631936. Its totient is φ = 649792000.

The previous prime is 2166929951. The next prime is 2166930019. The reversal of 2166929952 is 2599296612.

It is a junction number, because it is equal to n+sod(n) for n = 2166929895 and 2166929904.

It is not an unprimeable number, because it can be changed into a prime (2166929951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172293 + ... + 1174139.

It is an arithmetic number, because the mean of its divisors is an integer number (43872444).

Almost surely, 2^2166929952 is an apocalyptic number.

2166929952 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 2166929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158815968).

2166929952 is an abundant number, since it is smaller than the sum of its proper divisors (4150701984).

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

2166929952 is a wasteful number, since it uses less digits than its factorization.

2166929952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1964 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 2166929952 is about 46550.2948648019. The cubic root of 2166929952 is about 1294.0417575890.

The spelling of 2166929952 in words is "two billion, one hundred sixty-six million, nine hundred twenty-nine thousand, nine hundred fifty-two".