2854092226272 has 864 divisors, whose sum is σ = 9518846754816. Its totient is φ = 746197401600.

The previous prime is 2854092226247. The next prime is 2854092226277. The reversal of 2854092226272 is 2726222904582.

It is a super-2 number, since 2×2854092226272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854092226277) 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 143 ways as a sum of consecutive naturals, for example, 10531705497 + ... + 10531705767.

It is an arithmetic number, because the mean of its divisors is an integer number (11017183744).

Almost surely, 2^{2854092226272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2854092226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759423377408).

2854092226272 is an abundant number, since it is smaller than the sum of its proper divisors (6664754528544).

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

2854092226272 is a wasteful number, since it uses less digits than its factorization.

2854092226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2854092226272 in words is "two trillion, eight hundred fifty-four billion, ninety-two million, two hundred twenty-six thousand, two hundred seventy-two".