2649143281200 has 480 divisors, whose sum is σ = 9353031367680. Its totient is φ = 636985036800.

The previous prime is 2649143281181. The next prime is 2649143281217. The reversal of 2649143281200 is 21823419462.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120717429 + ... + 120739371.

It is an arithmetic number, because the mean of its divisors is an integer number (19485482016).

Almost surely, 2^{2649143281200} is an apocalyptic number.

2649143281200 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 2649143281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676515683840).

2649143281200 is an abundant number, since it is smaller than the sum of its proper divisors (6703888086480).

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

2649143281200 is a wasteful number, since it uses less digits than its factorization.

2649143281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22157 (or 22146 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2649143281200 in words is "two trillion, six hundred forty-nine billion, one hundred forty-three million, two hundred eighty-one thousand, two hundred".