2250917019648 has 760 divisors, whose sum is σ = 7673548417920. Its totient is φ = 650882580480.

The previous prime is 2250917019623. The next prime is 2250917019683. The reversal of 2250917019648 is 8469107190522.

It is a happy number.

2250917019648 is a `hidden beast` number, since 2 + 2 + 509 + 1 + 7 + 0 + 1 + 96 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2250917019594 and 2250917019603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5372116783 + ... + 5372117201.

Almost surely, 2^{2250917019648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250917019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836774208960).

2250917019648 is an abundant number, since it is smaller than the sum of its proper divisors (5422631398272).

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

2250917019648 is an frugal number, since it uses more digits than its factorization.

2250917019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2250917019648 in words is "two trillion, two hundred fifty billion, nine hundred seventeen million, nineteen thousand, six hundred forty-eight".