2250384061440 has 352 divisors, whose sum is σ = 7752973787136. Its totient is φ = 555491819520.

The previous prime is 2250384061439. The next prime is 2250384061447. The reversal of 2250384061440 is 441604830522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250384061447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10848939 + ... + 11054421.

Almost surely, 2^{2250384061440} is an apocalyptic number.

2250384061440 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 2250384061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876486893568).

2250384061440 is an abundant number, since it is smaller than the sum of its proper divisors (5502589725696).

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

2250384061440 is a wasteful number, since it uses less digits than its factorization.

2250384061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205565 (or 205547 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 2250384061440 its reverse (441604830522), we get a palindrome (2691988891962).

The spelling of 2250384061440 in words is "two trillion, two hundred fifty billion, three hundred eighty-four million, sixty-one thousand, four hundred forty".