2665984000 has 208 divisors, whose sum is σ = 6869431296. Its totient is φ = 1032192000.

The previous prime is 2665983989. The next prime is 2665984019. The reversal of 2665984000 is 4895662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20991937 + ... + 20992063.

It is an arithmetic number, because the mean of its divisors is an integer number (33026112).

Almost surely, 2^2665984000 is an apocalyptic number.

2665984000 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 2665984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434715648).

2665984000 is an abundant number, since it is smaller than the sum of its proper divisors (4203447296).

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

2665984000 is an equidigital number, since it uses as much as digits as its factorization.

2665984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2665984000 is about 51633.1676347675. The cubic root of 2665984000 is about 1386.6042049445.

The spelling of 2665984000 in words is "two billion, six hundred sixty-five million, nine hundred eighty-four thousand".