2771782848 has 112 divisors (see below), whose sum is σ = 8166770560. Its totient is φ = 921860352.

The previous prime is 2771782789. The next prime is 2771782859. The reversal of 2771782848 is 8482871772.

It is a super-2 number, since 2×2771782848² = 15365560312933982208, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2771782794 and 2771782803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902211 + ... + 905277.

Almost surely, 2^2771782848 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 2771782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083385280).

2771782848 is an abundant number, since it is smaller than the sum of its proper divisors (5394987712).

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

2771782848 is a wasteful number, since it uses less digits than its factorization.

2771782848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3595 counting only the distinct ones).

The product of its digits is 2809856, while the sum is 54.

The square root of 2771782848 is about 52647.7240533720. The cubic root of 2771782848 is about 1404.7091165478.

The spelling of 2771782848 in words is "two billion, seven hundred seventy-one million, seven hundred eighty-two thousand, eight hundred forty-eight".