2164958952 has 128 divisors (see below), whose sum is σ = 6174672000. Its totient is φ = 630789120.

The previous prime is 2164958951. The next prime is 2164958963. The reversal of 2164958952 is 2598594612.

It is a junction number, because it is equal to n+sod(n) for n = 2164958895 and 2164958904.

It is not an unprimeable number, because it can be changed into a prime (2164958951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000752 + ... + 1002912.

It is an arithmetic number, because the mean of its divisors is an integer number (48239625).

Almost surely, 2^2164958952 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 2164958952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087336000).

2164958952 is an abundant number, since it is smaller than the sum of its proper divisors (4009713048).

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

2164958952 is a wasteful number, since it uses less digits than its factorization.

2164958952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2198 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 2164958952 is about 46529.1193985014. The cubic root of 2164958952 is about 1293.6492929709.

It can be divided in two parts, 21649 and 58952, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 2164958952 in words is "two billion, one hundred sixty-four million, nine hundred fifty-eight thousand, nine hundred fifty-two".