2787789312 has 560 divisors, whose sum is σ = 10519451712. Its totient is φ = 716636160.

The previous prime is 2787789311. The next prime is 2787789337. The reversal of 2787789312 is 2139877872.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2787789311) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28740048 + ... + 28740144.

Almost surely, 2^2787789312 is an apocalyptic number.

2787789312 is a gapful number since it is divisible by the number (22) 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 2787789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259725856).

2787789312 is an abundant number, since it is smaller than the sum of its proper divisors (7731662400).

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

2787789312 is an frugal number, since it uses more digits than its factorization.

2787789312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 2787789312 is about 52799.5199978182. The cubic root of 2787789312 is about 1407.4078949769.

The spelling of 2787789312 in words is "two billion, seven hundred eighty-seven million, seven hundred eighty-nine thousand, three hundred twelve".