2509790848281 has 20 divisors (see below), whose sum is σ = 3749364064512. Its totient is φ = 1673117884728.

The previous prime is 2509790848241. The next prime is 2509790848339. The reversal of 2509790848281 is 1828480979052.

2509790848281 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 79 + 0 + 8 + 482 + 81 = 666.

It is not a de Polignac number, because 2509790848281 - 2¹⁴ = 2509790831897 is a prime.

It is a super-2 number, since 2×2509790848281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2509790848241) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1119076 + ... + 2504378.

Almost surely, 2^{2509790848281} is an apocalyptic number.

It is an amenable number.

2509790848281 is a deficient number, since it is larger than the sum of its proper divisors (1239573216231).

2509790848281 is a wasteful number, since it uses less digits than its factorization.

2509790848281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407682 (or 1407673 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2509790848281 in words is "two trillion, five hundred nine billion, seven hundred ninety million, eight hundred forty-eight thousand, two hundred eighty-one".