2260205245460 has 48 divisors (see below), whose sum is σ = 4790605789200. Its totient is φ = 895670037504.

The previous prime is 2260205245423. The next prime is 2260205245489. The reversal of 2260205245460 is 645425020622.

It can be written as a sum of positive squares in 8 ways, for example, as 13366134544 + 2246839110916 = 115612^2 + 1498946^2 .

It is a super-2 number, since 2×2260205245460² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17569934 + ... + 17698106.

It is an arithmetic number, because the mean of its divisors is an integer number (99804287275).

Almost surely, 2^{2260205245460} is an apocalyptic number.

2260205245460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260205245460 is an abundant number, since it is smaller than the sum of its proper divisors (2530400543740).

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

2260205245460 is a wasteful number, since it uses less digits than its factorization.

2260205245460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136380 (or 136378 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 2260205245460 in words is "two trillion, two hundred sixty billion, two hundred five million, two hundred forty-five thousand, four hundred sixty".