2330287872000 has 1536 divisors, whose sum is σ = 9007668633600. Its totient is φ = 529317888000.

The previous prime is 2330287871999. The next prime is 2330287872013. The reversal of 2330287872000 is 2787820332.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 13018367911 + ... + 13018368089.

It is an arithmetic number, because the mean of its divisors is an integer number (5864367600).

Almost surely, 2^{2330287872000} is an apocalyptic number.

2330287872000 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 2330287872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503834316800).

2330287872000 is an abundant number, since it is smaller than the sum of its proper divisors (6677380761600).

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

2330287872000 is a wasteful number, since it uses less digits than its factorization.

2330287872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 2330287872000 in words is "two trillion, three hundred thirty billion, two hundred eighty-seven million, eight hundred seventy-two thousand".