2260126771200 has 1728 divisors, whose sum is σ = 9102602396160. Its totient is φ = 533200896000.

The previous prime is 2260126771121. The next prime is 2260126771207. The reversal of 2260126771200 is 21776210622.

It is a happy number.

2260126771200 is a `hidden beast` number, since 2 + 2 + 601 + 26 + 7 + 7 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2260126771207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9956505487 + ... + 9956505713.

It is an arithmetic number, because the mean of its divisors is an integer number (5267709720).

Almost surely, 2^{2260126771200} is an apocalyptic number.

2260126771200 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 2260126771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551301198080).

2260126771200 is an abundant number, since it is smaller than the sum of its proper divisors (6842475624960).

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

2260126771200 is a wasteful number, since it uses less digits than its factorization.

2260126771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 2260126771200 in words is "two trillion, two hundred sixty billion, one hundred twenty-six million, seven hundred seventy-one thousand, two hundred".