2778882876 has 288 divisors, whose sum is σ = 9193347072. Its totient is φ = 712981440.

The previous prime is 2778882859. The next prime is 2778882913. The reversal of 2778882876 is 6782888772.

2778882876 is a `hidden beast` number, since 277 + 8 + 88 + 287 + 6 = 666.

It is a super-3 number, since 3×2778882876³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8008135 + ... + 8008481.

It is an arithmetic number, because the mean of its divisors is an integer number (31921344).

Almost surely, 2^2778882876 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 2778882876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596673536).

2778882876 is an abundant number, since it is smaller than the sum of its proper divisors (6414464196).

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

2778882876 is a wasteful number, since it uses less digits than its factorization.

2778882876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its digits is 33718272, while the sum is 63.

The square root of 2778882876 is about 52715.1105092269. The cubic root of 2778882876 is about 1405.9074993087.

The spelling of 2778882876 in words is "two billion, seven hundred seventy-eight million, eight hundred eighty-two thousand, eight hundred seventy-six".