2786887680 has 192 divisors, whose sum is σ = 9031538880. Its totient is φ = 733544448.

The previous prime is 2786887679. The next prime is 2786887717. The reversal of 2786887680 is 867886872.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2549214 + ... + 2550306.

It is an arithmetic number, because the mean of its divisors is an integer number (47039265).

Almost surely, 2^2786887680 is an apocalyptic number.

2786887680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2786887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515769440).

2786887680 is an abundant number, since it is smaller than the sum of its proper divisors (6244651200).

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

2786887680 is a wasteful number, since it uses less digits than its factorization.

2786887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The square root of 2786887680 is about 52790.9810479025. The cubic root of 2786887680 is about 1407.2561497909.

The spelling of 2786887680 in words is "two billion, seven hundred eighty-six million, eight hundred eighty-seven thousand, six hundred eighty".