2260347264 has 288 divisors, whose sum is σ = 7899830640. Its totient is φ = 617379840.

The previous prime is 2260347263. The next prime is 2260347281. The reversal of 2260347264 is 4627430622.

2260347264 is a `hidden beast` number, since 2 + 2 + 603 + 47 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260347263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297434 + ... + 1299174.

Almost surely, 2^2260347264 is an apocalyptic number.

2260347264 is a gapful number since it is divisible by the number (24) 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 2260347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949915320).

2260347264 is an abundant number, since it is smaller than the sum of its proper divisors (5639483376).

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

2260347264 is a wasteful number, since it uses less digits than its factorization.

2260347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2260347264 is about 47543.1095322971. The cubic root of 2260347264 is about 1312.3763296809.

Adding to 2260347264 its reverse (4627430622), we get a palindrome (6887777886).

The spelling of 2260347264 in words is "two billion, two hundred sixty million, three hundred forty-seven thousand, two hundred sixty-four".