2787855840 has 1152 divisors, whose sum is σ = 13368499200. Its totient is φ = 526417920.

The previous prime is 2787855839. The next prime is 2787855841. The reversal of 2787855840 is 485587872.

2787855840 is a `hidden beast` number, since 2 + 7 + 87 + 8 + 558 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2787855839) and next prime (2787855841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2787855841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96132946 + ... + 96132974.

It is an arithmetic number, because the mean of its divisors is an integer number (11604600).

Almost surely, 2^2787855840 is an apocalyptic number.

2787855840 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 2787855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684249600).

2787855840 is an abundant number, since it is smaller than the sum of its proper divisors (10580643360).

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

2787855840 is a wasteful number, since it uses less digits than its factorization.

2787855840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The square root of 2787855840 is about 52800.1499997869. The cubic root of 2787855840 is about 1407.4190903815.

The spelling of 2787855840 in words is "two billion, seven hundred eighty-seven million, eight hundred fifty-five thousand, eight hundred forty".