2665541200 has 360 divisors, whose sum is σ = 7950991104. Its totient is φ = 854784000.

The previous prime is 2665541167. The next prime is 2665541201. The reversal of 2665541200 is 21455662.

2665541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2665541201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24911547 + ... + 24911653.

Almost surely, 2^2665541200 is an apocalyptic number.

2665541200 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 2665541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975495552).

2665541200 is an abundant number, since it is smaller than the sum of its proper divisors (5285449904).

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

2665541200 is a wasteful number, since it uses less digits than its factorization.

2665541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 2665541200 is about 51628.8795152481. The cubic root of 2665541200 is about 1386.5274324985.

Adding to 2665541200 its reverse (21455662), we get a palindrome (2686996862).

The spelling of 2665541200 in words is "two billion, six hundred sixty-five million, five hundred forty-one thousand, two hundred".