2260704010000 has 100 divisors (see below), whose sum is σ = 5492875564044. Its totient is φ = 901062400000.

The previous prime is 2260704009953. The next prime is 2260704010049. The reversal of 2260704010000 is 104070622.

It can be written as a sum of positive squares in 10 ways, for example, as 1511689922064 + 749014087936 = 1229508^2 + 865456^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2260704010000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2407740 + ... + 3212260.

Almost surely, 2^{2260704010000} is an apocalyptic number.

2260704010000 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 2260704010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746437782022).

2260704010000 is an abundant number, since it is smaller than the sum of its proper divisors (3232171554044).

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

2260704010000 is an equidigital number, since it uses as much as digits as its factorization.

2260704010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804830 (or 804809 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 2260704010000 its reverse (104070622), we get a palindrome (2260808080622).

The spelling of 2260704010000 in words is "two trillion, two hundred sixty billion, seven hundred four million, ten thousand".