2788767020 has 144 divisors (see below), whose sum is σ = 6850992960. Its totient is φ = 950197248.

The previous prime is 2788767019. The next prime is 2788767031. The reversal of 2788767020 is 207678872.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253842 + ... + 2255078.

It is an arithmetic number, because the mean of its divisors is an integer number (47576340).

Almost surely, 2^2788767020 is an apocalyptic number.

2788767020 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 2788767020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425496480).

2788767020 is an abundant number, since it is smaller than the sum of its proper divisors (4062225940).

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

2788767020 is a wasteful number, since it uses less digits than its factorization.

2788767020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The square root of 2788767020 is about 52808.7778688354. Note that the first 3 decimals coincide. The cubic root of 2788767020 is about 1407.5724068263.

The spelling of 2788767020 in words is "two billion, seven hundred eighty-eight million, seven hundred sixty-seven thousand, twenty".