2784114872 has 32 divisors (see below), whose sum is σ = 6508321920. Its totient is φ = 1084719840.

The previous prime is 2784114829. The next prime is 2784114877.

2784114872 is nontrivially palindromic in base 10.

2784114872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 (2784114877) 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, 2259218 + ... + 2260449.

It is an arithmetic number, because the mean of its divisors is an integer number (203385060).

Almost surely, 2^2784114872 is an apocalyptic number.

2784114872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2784114872 is an abundant number, since it is smaller than the sum of its proper divisors (3724207048).

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

2784114872 is a wasteful number, since it uses less digits than its factorization.

2784114872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519691 (or 4519687 counting only the distinct ones).

The product of its digits is 200704, while the sum is 44.

The square root of 2784114872 is about 52764.7123748439. The cubic root of 2784114872 is about 1406.7892794099.

The spelling of 2784114872 in words is "two billion, seven hundred eighty-four million, one hundred fourteen thousand, eight hundred seventy-two".