2329948530000 has 4800 divisors, whose sum is σ = 11870440243200. Its totient is φ = 431101440000.

The previous prime is 2329948529957. The next prime is 2329948530037. The reversal of 2329948530000 is 358499232.

It is a happy number.

2329948530000 is a `hidden beast` number, since 2 + 3 + 29 + 94 + 8 + 530 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 959 ways as a sum of consecutive naturals, for example, 75159629985 + ... + 75159630015.

It is an arithmetic number, because the mean of its divisors is an integer number (2473008384).

Almost surely, 2^{2329948530000} is an apocalyptic number.

2329948530000 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 2329948530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935220121600).

2329948530000 is an abundant number, since it is smaller than the sum of its proper divisors (9540491713200).

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

2329948530000 is a wasteful number, since it uses less digits than its factorization.

2329948530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2329948530000 in words is "two trillion, three hundred twenty-nine billion, nine hundred forty-eight million, five hundred thirty thousand".