2771131533672 has 256 divisors, whose sum is σ = 7732872806400. Its totient is φ = 824109189120.

The previous prime is 2771131533647. The next prime is 2771131533683. The reversal of 2771131533672 is 2763351311772.

It is a super-2 number, since 2×2771131533672² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87836733 + ... + 87868275.

It is an arithmetic number, because the mean of its divisors is an integer number (30206534400).

Almost surely, 2^{2771131533672} 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 2771131533672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866436403200).

2771131533672 is an abundant number, since it is smaller than the sum of its proper divisors (4961741272728).

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

2771131533672 is a wasteful number, since it uses less digits than its factorization.

2771131533672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31776 (or 31772 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 48.

The spelling of 2771131533672 in words is "two trillion, seven hundred seventy-one billion, one hundred thirty-one million, five hundred thirty-three thousand, six hundred seventy-two".