2329056378880 has 608 divisors, whose sum is σ = 7131779592192. Its totient is φ = 709047091200.

The previous prime is 2329056378823. The next prime is 2329056378881. The reversal of 2329056378880 is 888736509232.

It is a happy number.

It is a super-2 number, since 2×2329056378880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329056378881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4743495435 + ... + 4743495925.

Almost surely, 2^{2329056378880} is an apocalyptic number.

2329056378880 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 2329056378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565889796096).

2329056378880 is an abundant number, since it is smaller than the sum of its proper divisors (4802723213312).

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

2329056378880 is an frugal number, since it uses more digits than its factorization.

2329056378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 2329056378880 in words is "two trillion, three hundred twenty-nine billion, fifty-six million, three hundred seventy-eight thousand, eight hundred eighty".