2320753057920 has 1280 divisors, whose sum is σ = 9808276262400. Its totient is φ = 516508876800.

The previous prime is 2320753057913. The next prime is 2320753057951. The reversal of 2320753057920 is 297503570232.

2320753057920 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 7 + 53 + 0 + 579 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 397454361 + ... + 397460199.

It is an arithmetic number, because the mean of its divisors is an integer number (7662715830).

Almost surely, 2^{2320753057920} is an apocalyptic number.

2320753057920 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 2320753057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904138131200).

2320753057920 is an abundant number, since it is smaller than the sum of its proper divisors (7487523204480).

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

2320753057920 is a wasteful number, since it uses less digits than its factorization.

2320753057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 2320753057920 in words is "two trillion, three hundred twenty billion, seven hundred fifty-three million, fifty-seven thousand, nine hundred twenty".