2250227523834 has 160 divisors (see below), whose sum is σ = 5276080592640. Its totient is φ = 715898736000.

The previous prime is 2250227523799. The next prime is 2250227523839. The reversal of 2250227523834 is 4383257220522.

2250227523834 is a `hidden beast` number, since 2 + 25 + 0 + 2 + 27 + 523 + 83 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2250227523834.

It is not an unprimeable number, because it can be changed into a prime (2250227523839) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327874687 + ... + 327881549.

It is an arithmetic number, because the mean of its divisors is an integer number (32975503704).

Almost surely, 2^{2250227523834} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250227523834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638040296320).

2250227523834 is an abundant number, since it is smaller than the sum of its proper divisors (3025853068806).

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

2250227523834 is a wasteful number, since it uses less digits than its factorization.

2250227523834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2250227523834 in words is "two trillion, two hundred fifty billion, two hundred twenty-seven million, five hundred twenty-three thousand, eight hundred thirty-four".