2771382822912 has 1512 divisors, whose sum is σ = 9875795652450. Its totient is φ = 775599390720.

The previous prime is 2771382822911. The next prime is 2771382822917. The reversal of 2771382822912 is 2192282831772.

It is a happy number.

2771382822912 is a `hidden beast` number, since 2 + 7 + 71 + 3 + 8 + 282 + 291 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2341340660736 + 430042162176 = 1530144^2 + 655776^2 .

It is a super-2 number, since 2×2771382822912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2771382822911) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 95564924914 + ... + 95564924942.

Almost surely, 2^{2771382822912} is an apocalyptic number.

2771382822912 is a gapful number since it is divisible by the number (22) 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 2771382822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937897826225).

2771382822912 is an abundant number, since it is smaller than the sum of its proper divisors (7104412829538).

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

2771382822912 is an equidigital number, since it uses as much as digits as its factorization.

2771382822912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 68 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 2771382822912 in words is "two trillion, seven hundred seventy-one billion, three hundred eighty-two million, eight hundred twenty-two thousand, nine hundred twelve".