2782696896 has 448 divisors, whose sum is σ = 9940869120. Its totient is φ = 746496000.

The previous prime is 2782696879. The next prime is 2782696897. The reversal of 2782696896 is 6986962872.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (2782696897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15373926 + ... + 15374106.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^2782696896 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 2782696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970434560).

2782696896 is an abundant number, since it is smaller than the sum of its proper divisors (7158172224).

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

2782696896 is a wasteful number, since it uses less digits than its factorization.

2782696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 2782696896 is about 52751.2738803529. The cubic root of 2782696896 is about 1406.5504084966.

The spelling of 2782696896 in words is "two billion, seven hundred eighty-two million, six hundred ninety-six thousand, eight hundred ninety-six".