2231605764960 has 576 divisors, whose sum is σ = 8409256289280. Its totient is φ = 493043466240.

The previous prime is 2231605764931. The next prime is 2231605764991. The reversal of 2231605764960 is 694675061322.

It is a super-3 number, since 3×2231605764960³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70477452 + ... + 70509108.

It is an arithmetic number, because the mean of its divisors is an integer number (14599403280).

Almost surely, 2^{2231605764960} is an apocalyptic number.

2231605764960 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 2231605764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204628144640).

2231605764960 is an abundant number, since it is smaller than the sum of its proper divisors (6177650524320).

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

2231605764960 is a wasteful number, since it uses less digits than its factorization.

2231605764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31791 (or 31770 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 2231605764960 in words is "two trillion, two hundred thirty-one billion, six hundred five million, seven hundred sixty-four thousand, nine hundred sixty".