2641632899200 has 192 divisors, whose sum is σ = 6635721849120. Its totient is φ = 1038952857600.

The previous prime is 2641632899189. The next prime is 2641632899201. The reversal of 2641632899200 is 29982361462.

It is not an unprimeable number, because it can be changed into a prime (2641632899201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56018032 + ... + 56065168.

Almost surely, 2^{2641632899200} is an apocalyptic number.

2641632899200 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 2641632899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317860924560).

2641632899200 is an abundant number, since it is smaller than the sum of its proper divisors (3994088949920).

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

2641632899200 is a wasteful number, since it uses less digits than its factorization.

2641632899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47455 (or 47438 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 2641632899200 in words is "two trillion, six hundred forty-one billion, six hundred thirty-two million, eight hundred ninety-nine thousand, two hundred".