2164004612 has 48 divisors (see below), whose sum is σ = 4734858240. Its totient is φ = 840727200.

The previous prime is 2164004603. The next prime is 2164004653.

2164004612 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100787 + ... + 120357.

It is an arithmetic number, because the mean of its divisors is an integer number (98642880).

Almost surely, 2^2164004612 is an apocalyptic number.

2164004612 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 2164004612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367429120).

2164004612 is an abundant number, since it is smaller than the sum of its proper divisors (2570853628).

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

2164004612 is a wasteful number, since it uses less digits than its factorization.

2164004612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19952 (or 19950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2164004612 is about 46518.8629697674. The cubic root of 2164004612 is about 1293.4591796332.

The spelling of 2164004612 in words is "two billion, one hundred sixty-four million, four thousand, six hundred twelve".