2321151876288 has 1008 divisors, whose sum is σ = 8430045624000. Its totient is φ = 597308866560.

The previous prime is 2321151876217. The next prime is 2321151876293. The reversal of 2321151876288 is 8826781511232.

It is a happy number.

2321151876288 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 5 + 1 + 8 + 7 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5035036378 + ... + 5035036838.

It is an arithmetic number, because the mean of its divisors is an integer number (8363140500).

Almost surely, 2^{2321151876288} is an apocalyptic number.

2321151876288 is a gapful number since it is divisible by the number (28) 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 2321151876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215022812000).

2321151876288 is an abundant number, since it is smaller than the sum of its proper divisors (6108893747712).

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

2321151876288 is a wasteful number, since it uses less digits than its factorization.

2321151876288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 668 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 2321151876288 in words is "two trillion, three hundred twenty-one billion, one hundred fifty-one million, eight hundred seventy-six thousand, two hundred eighty-eight".