2684504160 has 288 divisors, whose sum is σ = 10176878880. Its totient is φ = 660621312.

The previous prime is 2684504159. The next prime is 2684504183. The reversal of 2684504160 is 614054862.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728242 + ... + 731918.

It is an arithmetic number, because the mean of its divisors is an integer number (35336385).

Almost surely, 2^2684504160 is an apocalyptic number.

2684504160 is a gapful number since it is divisible by the number (20) 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 2684504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088439440).

2684504160 is an abundant number, since it is smaller than the sum of its proper divisors (7492374720).

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

2684504160 is a wasteful number, since it uses less digits than its factorization.

2684504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2684504160 is about 51812.2008797156. The cubic root of 2684504160 is about 1389.8076368894.

The spelling of 2684504160 in words is "two billion, six hundred eighty-four million, five hundred four thousand, one hundred sixty".