2826250144128 has 640 divisors, whose sum is σ = 8830434412800. Its totient is φ = 896272957440.

The previous prime is 2826250144121. The next prime is 2826250144129. The reversal of 2826250144128 is 8214410526282.

It is a happy number.

2826250144128 is a `hidden beast` number, since 2 + 8 + 2 + 625 + 0 + 1 + 4 + 4 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2826250144121) 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, 8386498776 + ... + 8386499112.

It is an arithmetic number, because the mean of its divisors is an integer number (13797553770).

Almost surely, 2^{2826250144128} 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 2826250144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415217206400).

2826250144128 is an abundant number, since it is smaller than the sum of its proper divisors (6004184268672).

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

2826250144128 is a wasteful number, since it uses less digits than its factorization.

2826250144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 2826250144128 in words is "two trillion, eight hundred twenty-six billion, two hundred fifty million, one hundred forty-four thousand, one hundred twenty-eight".