2260926286080 has 2304 divisors, whose sum is σ = 9932073984000. Its totient is φ = 424248606720.

The previous prime is 2260926286027. The next prime is 2260926286081. The reversal of 2260926286080 is 806826290622.

It is a super-2 number, since 2×2260926286080² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260926286081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15174001846 + ... + 15174001994.

It is an arithmetic number, because the mean of its divisors is an integer number (4310796000).

Almost surely, 2^{2260926286080} is an apocalyptic number.

2260926286080 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 2260926286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966036992000).

2260926286080 is an abundant number, since it is smaller than the sum of its proper divisors (7671147697920).

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

2260926286080 is a wasteful number, since it uses less digits than its factorization.

2260926286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 2260926286080 in words is "two trillion, two hundred sixty billion, nine hundred twenty-six million, two hundred eighty-six thousand, eighty".