2584053335052 has 288 divisors, whose sum is σ = 8685899308800. Its totient is φ = 658298866176.

The previous prime is 2584053334999. The next prime is 2584053335081. The reversal of 2584053335052 is 2505333504852.

2584053335052 is a `hidden beast` number, since 2 + 5 + 84 + 0 + 533 + 35 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2584053334989 and 2584053335007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953443 + ... + 2465189.

It is an arithmetic number, because the mean of its divisors is an integer number (30159372600).

Almost surely, 2^{2584053335052} 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 2584053335052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342949654400).

2584053335052 is an abundant number, since it is smaller than the sum of its proper divisors (6101845973748).

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

2584053335052 is a wasteful number, since it uses less digits than its factorization.

2584053335052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511810 (or 1511795 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 2584053335052 in words is "two trillion, five hundred eighty-four billion, fifty-three million, three hundred thirty-five thousand, fifty-two".