2250785514528 has 120 divisors (see below), whose sum is σ = 6621584937660. Its totient is φ = 750025267200.

The previous prime is 2250785514499. The next prime is 2250785514559. The reversal of 2250785514528 is 8254155870522.

2250785514528 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 78 + 5 + 514 + 52 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2199134770704 + 51650743824 = 1482948^2 + 227268^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8182428 + ... + 8453028.

Almost surely, 2^{2250785514528} 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 2250785514528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310792468830).

2250785514528 is an abundant number, since it is smaller than the sum of its proper divisors (4370799423132).

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

2250785514528 is a wasteful number, since it uses less digits than its factorization.

2250785514528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273832 (or 273815 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 54.

The spelling of 2250785514528 in words is "two trillion, two hundred fifty billion, seven hundred eighty-five million, five hundred fourteen thousand, five hundred twenty-eight".