2164679790 has 128 divisors (see below), whose sum is σ = 6475714560. Its totient is φ = 450897408.

The previous prime is 2164679789. The next prime is 2164679791. The reversal of 2164679790 is 979764612.

It is an interprime number because it is at equal distance from previous prime (2164679789) and next prime (2164679791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164679791) 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, 210652 + ... + 220688.

It is an arithmetic number, because the mean of its divisors is an integer number (50591520).

Almost surely, 2^2164679790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164679790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237857280).

2164679790 is an abundant number, since it is smaller than the sum of its proper divisors (4311034770).

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

2164679790 is a wasteful number, since it uses less digits than its factorization.

2164679790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2164679790 is about 46526.1194384402. The cubic root of 2164679790 is about 1293.5936871056.

The spelling of 2164679790 in words is "two billion, one hundred sixty-four million, six hundred seventy-nine thousand, seven hundred ninety".