2534156875008 has 1728 divisors, whose sum is σ = 9261647216640. Its totient is φ = 662390784000.

The previous prime is 2534156874929. The next prime is 2534156875009. The reversal of 2534156875008 is 8005786514352.

2534156875008 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 56 + 87 + 500 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534156875009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41543555298 + ... + 41543555358.

Almost surely, 2^{2534156875008} 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 2534156875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630823608320).

2534156875008 is an abundant number, since it is smaller than the sum of its proper divisors (6727490341632).

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

2534156875008 is a wasteful number, since it uses less digits than its factorization.

2534156875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 2534156875008 in words is "two trillion, five hundred thirty-four billion, one hundred fifty-six million, eight hundred seventy-five thousand, eight".