2250430919856 has 1120 divisors, whose sum is σ = 8122031585280. Its totient is φ = 589545216000.

The previous prime is 2250430919843. The next prime is 2250430919857. The reversal of 2250430919856 is 6589190340522.

2250430919856 is a `hidden beast` number, since 2 + 250 + 4 + 309 + 1 + 9 + 85 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2250430919857) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8304173001 + ... + 8304173271.

Almost surely, 2^{2250430919856} 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 2250430919856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061015792640).

2250430919856 is an abundant number, since it is smaller than the sum of its proper divisors (5871600665424).

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

2250430919856 is a wasteful number, since it uses less digits than its factorization.

2250430919856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2250430919856 in words is "two trillion, two hundred fifty billion, four hundred thirty million, nine hundred nineteen thousand, eight hundred fifty-six".