2789333820 has 864 divisors, whose sum is σ = 11858228928. Its totient is φ = 543449088.

The previous prime is 2789333801. The next prime is 2789333839. The reversal of 2789333820 is 283339872.

It is a happy number.

2789333820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2789333801) and next prime (2789333839).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52628914 + ... + 52628966.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2^2789333820 is an apocalyptic number.

2789333820 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 2789333820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929114464).

2789333820 is an abundant number, since it is smaller than the sum of its proper divisors (9068895108).

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

2789333820 is a wasteful number, since it uses less digits than its factorization.

2789333820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2789333820 is about 52814.1441282541. The cubic root of 2789333820 is about 1407.6677605543.

The spelling of 2789333820 in words is "two billion, seven hundred eighty-nine million, three hundred thirty-three thousand, eight hundred twenty".