2352006720000 has 2400 divisors, whose sum is σ = 10469611152000. Its totient is φ = 515579904000.

The previous prime is 2352006719983. The next prime is 2352006720071. The reversal of 2352006720000 is 276002532.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×2352006720000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15785279926 + ... + 15785280074.

It is an arithmetic number, because the mean of its divisors is an integer number (4362337980).

Almost surely, 2^{2352006720000} is an apocalyptic number.

2352006720000 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 2352006720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234805576000).

2352006720000 is an abundant number, since it is smaller than the sum of its proper divisors (8117604432000).

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

2352006720000 is an frugal number, since it uses more digits than its factorization.

2352006720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 2352006720000 in words is "two trillion, three hundred fifty-two billion, six million, seven hundred twenty thousand".