2330341281072 has 640 divisors, whose sum is σ = 7930841600000. Its totient is φ = 654788219904.

The previous prime is 2330341281041. The next prime is 2330341281089. The reversal of 2330341281072 is 2701821430332.

2330341281072 is a `hidden beast` number, since 2 + 3 + 30 + 341 + 281 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2535735429 + ... + 2535736347.

It is an arithmetic number, because the mean of its divisors is an integer number (12391940000).

Almost surely, 2^{2330341281072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330341281072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965420800000).

2330341281072 is an abundant number, since it is smaller than the sum of its proper divisors (5600500318928).

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

2330341281072 is a wasteful number, since it uses less digits than its factorization.

2330341281072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2330341281072 in words is "two trillion, three hundred thirty billion, three hundred forty-one million, two hundred eighty-one thousand, seventy-two".