2260464000 has 128 divisors (see below), whose sum is σ = 7493597280. Its totient is φ = 602777600.

The previous prime is 2260463993. The next prime is 2260464001. The reversal of 2260464000 is 4640622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260464001) 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, 24454 + ... + 71546.

Almost surely, 2^2260464000 is an apocalyptic number.

2260464000 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 2260464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746798640).

2260464000 is an abundant number, since it is smaller than the sum of its proper divisors (5233133280).

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

2260464000 is an equidigital number, since it uses as much as digits as its factorization.

2260464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47125 (or 47103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2260464000 is about 47544.3372022368. The cubic root of 2260464000 is about 1312.3989219212.

The spelling of 2260464000 in words is "two billion, two hundred sixty million, four hundred sixty-four thousand".