2534501532000 has 192 divisors, whose sum is σ = 8308822040064. Its totient is φ = 675395366400.

The previous prime is 2534501531983. The next prime is 2534501532001. The reversal of 2534501532000 is 2351054352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534501532001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17291019 + ... + 17436981.

It is an arithmetic number, because the mean of its divisors is an integer number (43275114792).

Almost surely, 2^{2534501532000} is an apocalyptic number.

2534501532000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534501532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154411020032).

2534501532000 is an abundant number, since it is smaller than the sum of its proper divisors (5774320508064).

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

2534501532000 is a wasteful number, since it uses less digits than its factorization.

2534501532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147438 (or 147420 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 2534501532000 its reverse (2351054352), we get a palindrome (2536852586352).

The spelling of 2534501532000 in words is "two trillion, five hundred thirty-four billion, five hundred one million, five hundred thirty-two thousand".