2250102235200 has 168 divisors, whose sum is σ = 7385536976928. Its totient is φ = 599756881920.

The previous prime is 2250102235177. The next prime is 2250102235211. The reversal of 2250102235200 is 25322010522.

It is a super-3 number, since 3×2250102235200³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 10661904 + ... + 10870896.

Almost surely, 2^{2250102235200} is an apocalyptic number.

2250102235200 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 2250102235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692768488464).

2250102235200 is an abundant number, since it is smaller than the sum of its proper divisors (5135434741728).

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

2250102235200 is a wasteful number, since it uses less digits than its factorization.

2250102235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211261 (or 211246 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 2250102235200 its reverse (25322010522), we get a palindrome (2275424245722).

The spelling of 2250102235200 in words is "two trillion, two hundred fifty billion, one hundred two million, two hundred thirty-five thousand, two hundred".