2264389120 has 160 divisors (see below), whose sum is σ = 6570704448. Its totient is φ = 730595328.

The previous prime is 2264389067. The next prime is 2264389189. The reversal of 2264389120 is 219834622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2264389120.

It is a congruent number.

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, 300924 + ... + 308356.

Almost surely, 2^2264389120 is an apocalyptic number.

2264389120 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 2264389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285352224).

2264389120 is an abundant number, since it is smaller than the sum of its proper divisors (4306315328).

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

2264389120 is an equidigital number, since it uses as much as digits as its factorization.

2264389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2264389120 is about 47585.5978211896. The cubic root of 2264389120 is about 1313.1581089001.

The spelling of 2264389120 in words is "two billion, two hundred sixty-four million, three hundred eighty-nine thousand, one hundred twenty".