2260351104 has 128 divisors (see below), whose sum is σ = 6580224000. Its totient is φ = 681784320.

The previous prime is 2260351099. The next prime is 2260351129. The reversal of 2260351104 is 4011530622.

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

It is a super-2 number, since 2×2260351104² = 10218374226708037632, which contains 22 as substring.

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

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, 1008417 + ... + 1010655.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 2^2260351104 is an apocalyptic number.

2260351104 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 2260351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112000).

2260351104 is an abundant number, since it is smaller than the sum of its proper divisors (4319872896).

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

2260351104 is a wasteful number, since it uses less digits than its factorization.

2260351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2260351104 is about 47543.1499166810. The cubic root of 2260351104 is about 1312.3770728590.

Adding to 2260351104 its reverse (4011530622), we get a palindrome (6271881726).

The spelling of 2260351104 in words is "two billion, two hundred sixty million, three hundred fifty-one thousand, one hundred four".