2264080 has 80 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 714240.

The previous prime is 2264069. The next prime is 2264081. The reversal of 2264080 is 804622.

2264080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2264081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7125 + ... + 7435.

2^2264080 is an apocalyptic number.

2264080 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 2264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2264080 is an abundant number, since it is smaller than the sum of its proper divisors (4235504).

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

2264080 is a wasteful number, since it uses less digits than its factorization.

2264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2264080 is about 1504.6860137584. The cubic root of 2264080 is about 131.3098351517.

The spelling of 2264080 in words is "two million, two hundred sixty-four thousand, eighty".