2779832832 has 160 divisors (see below), whose sum is σ = 8508086400. Its totient is φ = 790069248.

The previous prime is 2779832821. The next prime is 2779832833. The reversal of 2779832832 is 2382389772.

It is not an unprimeable number, because it can be changed into a prime (2779832833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2461644 + ... + 2462772.

It is an arithmetic number, because the mean of its divisors is an integer number (53175540).

Almost surely, 2^2779832832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2779832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254043200).

2779832832 is an abundant number, since it is smaller than the sum of its proper divisors (5728253568).

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

2779832832 is a wasteful number, since it uses less digits than its factorization.

2779832832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1370 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 2779832832 is about 52724.1200211061. The cubic root of 2779832832 is about 1406.0676833548.

The spelling of 2779832832 in words is "two billion, seven hundred seventy-nine million, eight hundred thirty-two thousand, eight hundred thirty-two".