2684056144 has 120 divisors (see below), whose sum is σ = 6761192256. Its totient is φ = 1020096000.

The previous prime is 2684056127. The next prime is 2684056301. The reversal of 2684056144 is 4416504862.

It is a junction number, because it is equal to n+sod(n) for n = 2684056097 and 2684056106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349789 + ... + 357379.

Almost surely, 2^2684056144 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 2684056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380596128).

2684056144 is an abundant number, since it is smaller than the sum of its proper divisors (4077136112).

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

2684056144 is a wasteful number, since it uses less digits than its factorization.

2684056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2684056144 is about 51807.8772388910. The cubic root of 2684056144 is about 1389.7303177444.

The spelling of 2684056144 in words is "two billion, six hundred eighty-four million, fifty-six thousand, one hundred forty-four".