2167640 has 32 divisors (see below), whose sum is σ = 4985280. Its totient is φ = 847872.

The previous prime is 2167621. The next prime is 2167643. The reversal of 2167640 is 467612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (155790).

2^2167640 is an apocalyptic number.

2167640 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 2167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492640).

2167640 is an abundant number, since it is smaller than the sum of its proper divisors (2817640).

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

2167640 is a wasteful number, since it uses less digits than its factorization.

2167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2167640 is about 1472.2907321586. The cubic root of 2167640 is about 129.4183083711.

The spelling of 2167640 in words is "two million, one hundred sixty-seven thousand, six hundred forty".