2812788384 has 48 divisors (see below), whose sum is σ = 8438367168. Its totient is φ = 803653632.

The previous prime is 2812788383. The next prime is 2812788401. The reversal of 2812788384 is 4838872182.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2812788383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2092177 + ... + 2093520.

It is an arithmetic number, because the mean of its divisors is an integer number (175799316).

Almost surely, 2^2812788384 is an apocalyptic number.

2812788384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2812788384 is an abundant number, since it is smaller than the sum of its proper divisors (5625578784).

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

2812788384 is a wasteful number, since it uses less digits than its factorization.

2812788384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185717 (or 4185709 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 2812788384 is about 53035.7274297242. The cubic root of 2812788384 is about 1411.6022869587.

The spelling of 2812788384 in words is "two billion, eight hundred twelve million, seven hundred eighty-eight thousand, three hundred eighty-four".