2534140632 has 128 divisors (see below), whose sum is σ = 6967296000. Its totient is φ = 764620800.

The previous prime is 2534140607. The next prime is 2534140633. The reversal of 2534140632 is 2360414352.

It is a self number, because there is not a number n which added to its sum of digits gives 2534140632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534140633) 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 31 ways as a sum of consecutive naturals, for example, 2415244 + ... + 2416292.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 2^2534140632 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 2534140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648000).

2534140632 is an abundant number, since it is smaller than the sum of its proper divisors (4433155368).

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

2534140632 is a wasteful number, since it uses less digits than its factorization.

2534140632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2534140632 is about 50340.2486287066. The cubic root of 2534140632 is about 1363.3590252403.

Adding to 2534140632 its reverse (2360414352), we get a palindrome (4894554984).

The spelling of 2534140632 in words is "two billion, five hundred thirty-four million, one hundred forty thousand, six hundred thirty-two".