2132434032040 has 128 divisors (see below), whose sum is σ = 5193764997120. Its totient is φ = 783295027200.

The previous prime is 2132434032037. The next prime is 2132434032101. The reversal of 2132434032040 is 402304342312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173630700 + ... + 173642980.

It is an arithmetic number, because the mean of its divisors is an integer number (40576289040).

Almost surely, 2^{2132434032040} is an apocalyptic number.

2132434032040 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 2132434032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596882498560).

2132434032040 is an abundant number, since it is smaller than the sum of its proper divisors (3061330965080).

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

2132434032040 is a wasteful number, since it uses less digits than its factorization.

2132434032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14003 (or 13999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2132434032040 its reverse (402304342312), we get a palindrome (2534738374352).

It can be divided in two parts, 21324340 and 32040, that added together give a triangular number (21356380 = T₆₅₃₅).

The spelling of 2132434032040 in words is "two trillion, one hundred thirty-two billion, four hundred thirty-four million, thirty-two thousand, forty".