2152363200 has 336 divisors, whose sum is σ = 8056046880. Its totient is φ = 498401280.

The previous prime is 2152363193. The next prime is 2152363243. The reversal of 2152363200 is 23632512.

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 47 ways as a sum of consecutive naturals, for example, 1059786 + ... + 1061814.

It is an arithmetic number, because the mean of its divisors is an integer number (23976330).

Almost surely, 2^2152363200 is an apocalyptic number.

2152363200 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 2152363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028023440).

2152363200 is an abundant number, since it is smaller than the sum of its proper divisors (5903683680).

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

2152363200 is a wasteful number, since it uses less digits than its factorization.

2152363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2152363200 is about 46393.5685197852. The cubic root of 2152363200 is about 1291.1355903926.

Adding to 2152363200 its reverse (23632512), we get a palindrome (2175995712).

The spelling of 2152363200 in words is "two billion, one hundred fifty-two million, three hundred sixty-three thousand, two hundred".