2349012715920 has 1280 divisors, whose sum is σ = 9438595891200. Its totient is φ = 532580106240.

The previous prime is 2349012715783. The next prime is 2349012716021. The reversal of 2349012715920 is 295172109432.

2349012715920 is a `hidden beast` number, since 2 + 3 + 49 + 0 + 12 + 7 + 1 + 592 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 1596880785 + ... + 1596882255.

It is an arithmetic number, because the mean of its divisors is an integer number (7373903040).

Almost surely, 2^{2349012715920} is an apocalyptic number.

2349012715920 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 2349012715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719297945600).

2349012715920 is an abundant number, since it is smaller than the sum of its proper divisors (7089583175280).

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

2349012715920 is a wasteful number, since it uses less digits than its factorization.

2349012715920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2349012715920 in words is "two trillion, three hundred forty-nine billion, twelve million, seven hundred fifteen thousand, nine hundred twenty".