2891288335320 has 1920 divisors, whose sum is σ = 13042616716800. Its totient is φ = 561150374400.

The previous prime is 2891288335319. The next prime is 2891288335363. The reversal of 2891288335320 is 235338821982.

It is a happy number.

2891288335320 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 28 + 83 + 3 + 532 + 0 = 666.

2891288335320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40722370885 + ... + 40722370955.

It is an arithmetic number, because the mean of its divisors is an integer number (6793029540).

Almost surely, 2^{2891288335320} is an apocalyptic number.

2891288335320 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 2891288335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521308358400).

2891288335320 is an abundant number, since it is smaller than the sum of its proper divisors (10151328381480).

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

2891288335320 is a wasteful number, since it uses less digits than its factorization.

2891288335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2891288335320 in words is "two trillion, eight hundred ninety-one billion, two hundred eighty-eight million, three hundred thirty-five thousand, three hundred twenty".