2570284006272 has 320 divisors, whose sum is σ = 7759204104960. Its totient is φ = 844479820800.

The previous prime is 2570284006261. The next prime is 2570284006307. The reversal of 2570284006272 is 2726004820752.

2570284006272 is a `hidden beast` number, since 2 + 570 + 2 + 8 + 4 + 0 + 0 + 6 + 2 + 72 = 666.

2570284006272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398428647 + ... + 398435097.

It is an arithmetic number, because the mean of its divisors is an integer number (24247512828).

Almost surely, 2^{2570284006272} 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 2570284006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879602052480).

2570284006272 is an abundant number, since it is smaller than the sum of its proper divisors (5188920098688).

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

2570284006272 is an equidigital number, since it uses as much as digits as its factorization.

2570284006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2570284006272 in words is "two trillion, five hundred seventy billion, two hundred eighty-four million, six thousand, two hundred seventy-two".