2165167420 has 96 divisors (see below), whose sum is σ = 5171906880. Its totient is φ = 754790400.

The previous prime is 2165167393. The next prime is 2165167421. The reversal of 2165167420 is 247615612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165167421) 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, 1980394 + ... + 1981486.

It is an arithmetic number, because the mean of its divisors is an integer number (53874030).

Almost surely, 2^2165167420 is an apocalyptic number.

2165167420 is a gapful number since it is divisible by the number (20) 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 2165167420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585953440).

2165167420 is an abundant number, since it is smaller than the sum of its proper divisors (3006739460).

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

2165167420 is a wasteful number, since it uses less digits than its factorization.

2165167420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2165167420 is about 46531.3595331149. The cubic root of 2165167420 is about 1293.6908142855.

The spelling of 2165167420 in words is "two billion, one hundred sixty-five million, one hundred sixty-seven thousand, four hundred twenty".