2771739648 has 308 divisors, whose sum is σ = 8591504640. Its totient is φ = 892809216.

The previous prime is 2771739629. The next prime is 2771739673. The reversal of 2771739648 is 8469371772.

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 = 2771739594 and 2771739603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35085273 + ... + 35085351.

Almost surely, 2^2771739648 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 2771739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295752320).

2771739648 is an abundant number, since it is smaller than the sum of its proper divisors (5819764992).

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

2771739648 is an frugal number, since it uses more digits than its factorization.

2771739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 2771739648 is about 52647.3137776278. The cubic root of 2771739648 is about 1404.7018187480.

The spelling of 2771739648 in words is "two billion, seven hundred seventy-one million, seven hundred thirty-nine thousand, six hundred forty-eight".