2252302945200 has 1920 divisors, whose sum is σ = 10476000921600. Its totient is φ = 451480780800.

The previous prime is 2252302945181. The next prime is 2252302945241. The reversal of 2252302945200 is 25492032522.

It is a happy number.

2252302945200 is a `hidden beast` number, since 2 + 25 + 23 + 0 + 2 + 94 + 520 + 0 = 666.

2252302945200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1953427824 + ... + 1953428976.

It is an arithmetic number, because the mean of its divisors is an integer number (5456250480).

Almost surely, 2^{2252302945200} is an apocalyptic number.

2252302945200 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 2252302945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238000460800).

2252302945200 is an abundant number, since it is smaller than the sum of its proper divisors (8223697976400).

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

2252302945200 is a wasteful number, since it uses less digits than its factorization.

2252302945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2252302945200 its reverse (25492032522), we get a palindrome (2277794977722).

The spelling of 2252302945200 in words is "two trillion, two hundred fifty-two billion, three hundred two million, nine hundred forty-five thousand, two hundred".