2164540404 has 96 divisors (see below), whose sum is σ = 5766777856. Its totient is φ = 627056640.

The previous prime is 2164540361. The next prime is 2164540451. The reversal of 2164540404 is 4040454612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172884 + ... + 184980.

Almost surely, 2^2164540404 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 2164540404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883388928).

2164540404 is an abundant number, since it is smaller than the sum of its proper divisors (3602237452).

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

2164540404 is a wasteful number, since it uses less digits than its factorization.

2164540404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2164540404 is about 46524.6214815338. The cubic root of 2164540404 is about 1293.5659212253.

The spelling of 2164540404 in words is "two billion, one hundred sixty-four million, five hundred forty thousand, four hundred four".