2478349005687 has 24 divisors (see below), whose sum is σ = 3582675149040. Its totient is φ = 1650923366400.

The previous prime is 2478349005677. The next prime is 2478349005697. The reversal of 2478349005687 is 7865009438742.

2478349005687 is a `hidden beast` number, since 2 + 4 + 7 + 83 + 490 + 0 + 5 + 68 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (2478349005677) and next prime (2478349005697).

It is not a de Polignac number, because 2478349005687 - 2¹⁸ = 2478348743543 is a prime.

It is a super-3 number, since 3×2478349005687³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478349005677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97941937 + ... + 97967237.

It is an arithmetic number, because the mean of its divisors is an integer number (149278131210).

Almost surely, 2^{2478349005687} is an apocalyptic number.

2478349005687 is a deficient number, since it is larger than the sum of its proper divisors (1104326143353).

2478349005687 is a wasteful number, since it uses less digits than its factorization.

2478349005687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33503 (or 33500 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2478349005687 in words is "two trillion, four hundred seventy-eight billion, three hundred forty-nine million, five thousand, six hundred eighty-seven".