2250240120 has 96 divisors (see below), whose sum is σ = 7325341920. Its totient is φ = 599074560.

The previous prime is 2250240119. The next prime is 2250240127. The reversal of 2250240120 is 210420522.

2250240120 is a `hidden beast` number, since 2 + 2 + 502 + 40 + 120 = 666.

2250240120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2250240120² = 10127161195315228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2250240093 and 2250240102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250240127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228090 + ... + 237750.

It is an arithmetic number, because the mean of its divisors is an integer number (76305645).

Almost surely, 2^2250240120 is an apocalyptic number.

2250240120 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 2250240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662670960).

2250240120 is an abundant number, since it is smaller than the sum of its proper divisors (5075101800).

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

2250240120 is a wasteful number, since it uses less digits than its factorization.

2250240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2250240120 is about 47436.6959220391. The cubic root of 2250240120 is about 1310.4173096999.

Adding to 2250240120 its reverse (210420522), we get a palindrome (2460660642).

The spelling of 2250240120 in words is "two billion, two hundred fifty million, two hundred forty thousand, one hundred twenty".