2752226771000 has 256 divisors, whose sum is σ = 7505181515520. Its totient is φ = 925067520000.

The previous prime is 2752226770973. The next prime is 2752226771009. The reversal of 2752226771000 is 1776222572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752226771009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 645908870 + ... + 645913130.

It is an arithmetic number, because the mean of its divisors is an integer number (29317115295).

Almost surely, 2^{2752226771000} is an apocalyptic number.

2752226771000 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 2752226771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752590757760).

2752226771000 is an abundant number, since it is smaller than the sum of its proper divisors (4752954744520).

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

2752226771000 is a wasteful number, since it uses less digits than its factorization.

2752226771000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The spelling of 2752226771000 in words is "two trillion, seven hundred fifty-two billion, two hundred twenty-six million, seven hundred seventy-one thousand".