2684016000 has 640 divisors, whose sum is σ = 10589436000. Its totient is φ = 671846400.

The previous prime is 2684015989. The next prime is 2684016079. The reversal of 2684016000 is 6104862.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24623946 + ... + 24624054.

Almost surely, 2^2684016000 is an apocalyptic number.

2684016000 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 2684016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294718000).

2684016000 is an abundant number, since it is smaller than the sum of its proper divisors (7905420000).

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

2684016000 is a wasteful number, since it uses less digits than its factorization.

2684016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2684016000 is about 51807.4898060116. The cubic root of 2684016000 is about 1389.7233892241.

The spelling of 2684016000 in words is "two billion, six hundred eighty-four million, sixteen thousand".