2684080000 has 160 divisors (see below), whose sum is σ = 7637992560. Its totient is φ = 920064000.

The previous prime is 2684079997. The next prime is 2684080001. The reversal of 2684080000 is 804862.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 557604 + ... + 562396.

Almost surely, 2^2684080000 is an apocalyptic number.

2684080000 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 2684080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818996280).

2684080000 is an abundant number, since it is smaller than the sum of its proper divisors (4953912560).

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

2684080000 is an frugal number, since it uses more digits than its factorization.

2684080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2684080000 is about 51808.1074736378. The cubic root of 2684080000 is about 1389.7344350587.

Adding to 2684080000 its reverse (804862), we get a palindrome (2684884862).

The spelling of 2684080000 in words is "two billion, six hundred eighty-four million, eighty thousand".