2932534582080 has 224 divisors, whose sum is σ = 9860813375616. Its totient is φ = 735835324416.

The previous prime is 2932534582067. The next prime is 2932534582091. The reversal of 2932534582080 is 802854352392.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78105072 + ... + 78142608.

It is an arithmetic number, because the mean of its divisors is an integer number (44021488284).

Almost surely, 2^{2932534582080} is an apocalyptic number.

2932534582080 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 2932534582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930406687808).

2932534582080 is an abundant number, since it is smaller than the sum of its proper divisors (6928278793536).

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

2932534582080 is a wasteful number, since it uses less digits than its factorization.

2932534582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42361 (or 42351 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 2932534582080 in words is "two trillion, nine hundred thirty-two billion, five hundred thirty-four million, five hundred eighty-two thousand, eighty".