2250441065100 has 216 divisors, whose sum is σ = 6922080083520. Its totient is φ = 564293952640.

The previous prime is 2250441065021. The next prime is 2250441065107. The reversal of 2250441065100 is 15601440522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2250441065107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9243127 + ... + 9483473.

Almost surely, 2^{2250441065100} is an apocalyptic number.

2250441065100 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 2250441065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461040041760).

2250441065100 is an abundant number, since it is smaller than the sum of its proper divisors (4671639018420).

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

2250441065100 is a wasteful number, since it uses less digits than its factorization.

2250441065100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240469 (or 240439 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2250441065100 in words is "two trillion, two hundred fifty billion, four hundred forty-one million, sixty-five thousand, one hundred".