2771616042 has 80 divisors (see below), whose sum is σ = 6700190112. Its totient is φ = 851277600.

The previous prime is 2771616007. The next prime is 2771616047. The reversal of 2771616042 is 2406161772.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2771615988 and 2771616006.

It is not an unprimeable number, because it can be changed into a prime (2771616047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1909417 + ... + 1910867.

Almost surely, 2^2771616042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771616042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350095056).

2771616042 is an abundant number, since it is smaller than the sum of its proper divisors (3928574070).

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

2771616042 is a wasteful number, since it uses less digits than its factorization.

2771616042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2771616042 is about 52646.1398584929. The cubic root of 2771616042 is about 1404.6809374994.

The spelling of 2771616042 in words is "two billion, seven hundred seventy-one million, six hundred sixteen thousand, forty-two".