2665005200 has 120 divisors (see below), whose sum is σ = 7522185216. Its totient is φ = 894528000.

The previous prime is 2665005173. The next prime is 2665005223. The reversal of 2665005200 is 25005662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2665005200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33905 + ... + 80495.

Almost surely, 2^2665005200 is an apocalyptic number.

2665005200 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 2665005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761092608).

2665005200 is an abundant number, since it is smaller than the sum of its proper divisors (4857180016).

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

2665005200 is a wasteful number, since it uses less digits than its factorization.

2665005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46633 (or 46622 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2665005200 is about 51623.6883610615. The cubic root of 2665005200 is about 1386.4344897066.

The spelling of 2665005200 in words is "two billion, six hundred sixty-five million, five thousand, two hundred".