2829683472 has 160 divisors (see below), whose sum is σ = 9408159744. Its totient is φ = 711244800.

The previous prime is 2829683453. The next prime is 2829683477. The reversal of 2829683472 is 2743869282.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2829683477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102228 + ... + 126924.

Almost surely, 2^2829683472 is an apocalyptic number.

2829683472 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 2829683472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704079872).

2829683472 is an abundant number, since it is smaller than the sum of its proper divisors (6578476272).

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

2829683472 is a wasteful number, since it uses less digits than its factorization.

2829683472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24757 (or 24751 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 2829683472 is about 53194.7692165311. The cubic root of 2829683472 is about 1414.4229225868.

The spelling of 2829683472 in words is "two billion, eight hundred twenty-nine million, six hundred eighty-three thousand, four hundred seventy-two".