2641267200 has 720 divisors, whose sum is σ = 10585545696. Its totient is φ = 575078400.

The previous prime is 2641267199. The next prime is 2641267201. The reversal of 2641267200 is 27621462.

It is an interprime number because it is at equal distance from previous prime (2641267199) and next prime (2641267201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2641267201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 71385582 + ... + 71385618.

Almost surely, 2^2641267200 is an apocalyptic number.

2641267200 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 2641267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292772848).

2641267200 is an abundant number, since it is smaller than the sum of its proper divisors (7944278496).

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

2641267200 is a wasteful number, since it uses less digits than its factorization.

2641267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2641267200 is about 51393.2602585203. The cubic root of 2641267200 is about 1382.3057441737.

Adding to 2641267200 its reverse (27621462), we get a palindrome (2668888662).

The spelling of 2641267200 in words is "two billion, six hundred forty-one million, two hundred sixty-seven thousand, two hundred".