2575312429284 has 243 divisors, whose sum is σ = 7996158202851. Its totient is φ = 696730416480.

The previous prime is 2575312429253. The next prime is 2575312429373. The reversal of 2575312429284 is 4829242135752.

It is a happy number.

The square root of 2575312429284 is 1604778.

It is a perfect power (a square), and thus also a powerful number.

2575312429284 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 312 + 42 + 9 + 284 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2575312429284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1280611839 + ... + 1280613849.

Almost surely, 2^{2575312429284} is an apocalyptic number.

2575312429284 is the 1604778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575312429284

2575312429284 is an abundant number, since it is smaller than the sum of its proper divisors (5420845773567).

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

2575312429284 is a wasteful number, since it uses less digits than its factorization.

2575312429284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 2042 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2575312429284 in words is "two trillion, five hundred seventy-five billion, three hundred twelve million, four hundred twenty-nine thousand, two hundred eighty-four".