2164954176 has 448 divisors, whose sum is σ = 8111093760. Its totient is φ = 549918720.

The previous prime is 2164954171. The next prime is 2164954177. The reversal of 2164954176 is 6714594612.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2164954171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7051815 + ... + 7052121.

It is an arithmetic number, because the mean of its divisors is an integer number (18105120).

Almost surely, 2^2164954176 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 2164954176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055546880).

2164954176 is an abundant number, since it is smaller than the sum of its proper divisors (5946139584).

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

2164954176 is a wasteful number, since it uses less digits than its factorization.

2164954176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2164954176 is about 46529.0680757739. The cubic root of 2164954176 is about 1293.6483416867.

The spelling of 2164954176 in words is "two billion, one hundred sixty-four million, nine hundred fifty-four thousand, one hundred seventy-six".