2352820349800 has 48 divisors (see below), whose sum is σ = 5658938613900. Its totient is φ = 908675443200.

The previous prime is 2352820349773. The next prime is 2352820349801. The reversal of 2352820349800 is 89430282532.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1129854198916 + 1222966150884 = 1062946^2 + 1105878^2 .

It is not an unprimeable number, because it can be changed into a prime (2352820349801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202823541 + ... + 202835140.

Almost surely, 2^{2352820349800} is an apocalyptic number.

2352820349800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2352820349800 is an abundant number, since it is smaller than the sum of its proper divisors (3306118264100).

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

2352820349800 is a wasteful number, since it uses less digits than its factorization.

2352820349800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405658726 (or 405658717 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 2352820349800 in words is "two trillion, three hundred fifty-two billion, eight hundred twenty million, three hundred forty-nine thousand, eight hundred".