2778103116 has 192 divisors, whose sum is σ = 7807887360. Its totient is φ = 851938560.

The previous prime is 2778103109. The next prime is 2778103121. The reversal of 2778103116 is 6113018772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15348546 + ... + 15348726.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 2^2778103116 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 2778103116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903943680).

2778103116 is an abundant number, since it is smaller than the sum of its proper divisors (5029784244).

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

2778103116 is a wasteful number, since it uses less digits than its factorization.

2778103116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2778103116 is about 52707.7140084827. The cubic root of 2778103116 is about 1405.7759868706.

The spelling of 2778103116 in words is "two billion, seven hundred seventy-eight million, one hundred three thousand, one hundred sixteen".