2665216000 has 192 divisors, whose sum is σ = 6899256000. Its totient is φ = 1026457600.

The previous prime is 2665215989. The next prime is 2665216003. The reversal of 2665216000 is 6125662.

2665216000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2665216000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2665216003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7423821 + ... + 7424179.

It is an arithmetic number, because the mean of its divisors is an integer number (35933625).

Almost surely, 2^2665216000 is an apocalyptic number.

2665216000 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 2665216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628000).

2665216000 is an abundant number, since it is smaller than the sum of its proper divisors (4234040000).

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

2665216000 is an equidigital number, since it uses as much as digits as its factorization.

2665216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2665216000 is about 51625.7300190515. The cubic root of 2665216000 is about 1386.4710440674.

The spelling of 2665216000 in words is "two billion, six hundred sixty-five million, two hundred sixteen thousand".