260880024100 has 144 divisors (see below), whose sum is σ = 590537984400. Its totient is φ = 99912960000.

The previous prime is 260880024011. The next prime is 260880024109. The reversal of 260880024100 is 1420088062.

It can be written as a sum of positive squares in 24 ways, for example, as 236211552256 + 24668471844 = 486016^2 + 157062^2 .

It is not an unprimeable number, because it can be changed into a prime (260880024109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367954546 + ... + 367955254.

It is an arithmetic number, because the mean of its divisors is an integer number (4100958225).

Almost surely, 2^260880024100 is an apocalyptic number.

260880024100 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 260880024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295268992200).

260880024100 is an abundant number, since it is smaller than the sum of its proper divisors (329657960300).

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

260880024100 is a wasteful number, since it uses less digits than its factorization.

260880024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 260880024100 in words is "two hundred sixty billion, eight hundred eighty million, twenty-four thousand, one hundred".