2320135224000 has 448 divisors, whose sum is σ = 8561431517184. Its totient is φ = 548736000000.

The previous prime is 2320135223999. The next prime is 2320135224083. The reversal of 2320135224000 is 4225310232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10716825 + ... + 10931175.

It is an arithmetic number, because the mean of its divisors is an integer number (19110338208).

Almost surely, 2^{2320135224000} is an apocalyptic number.

2320135224000 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 2320135224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280715758592).

2320135224000 is an abundant number, since it is smaller than the sum of its proper divisors (6241296293184).

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

2320135224000 is a wasteful number, since it uses less digits than its factorization.

2320135224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214433 (or 214413 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 2320135224000 in words is "two trillion, three hundred twenty billion, one hundred thirty-five million, two hundred twenty-four thousand".