2661147787200 has 336 divisors, whose sum is σ = 10322111009280. Its totient is φ = 587287572480.

The previous prime is 2661147787141. The next prime is 2661147787201. The reversal of 2661147787200 is 27877411662.

2661147787200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661147787201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391132 + ... + 2339931.

It is an arithmetic number, because the mean of its divisors is an integer number (30720568480).

Almost surely, 2^{2661147787200} is an apocalyptic number.

2661147787200 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 2661147787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161055504640).

2661147787200 is an abundant number, since it is smaller than the sum of its proper divisors (7660963222080).

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

2661147787200 is a wasteful number, since it uses less digits than its factorization.

2661147787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731124 (or 2731109 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 2661147787200 in words is "two trillion, six hundred sixty-one billion, one hundred forty-seven million, seven hundred eighty-seven thousand, two hundred".