2895432505632 has 144 divisors (see below), whose sum is σ = 8298132792768. Its totient is φ = 957637624320.

The previous prime is 2895432505619. The next prime is 2895432505649. The reversal of 2895432505632 is 2365052345982.

It is a happy number.

2895432505632 is a `hidden beast` number, since 2 + 8 + 9 + 54 + 3 + 25 + 0 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23030013 + ... + 23155395.

It is an arithmetic number, because the mean of its divisors is an integer number (57625922172).

Almost surely, 2^{2895432505632} 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 2895432505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149066396384).

2895432505632 is an abundant number, since it is smaller than the sum of its proper divisors (5402700287136).

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

2895432505632 is a wasteful number, since it uses less digits than its factorization.

2895432505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126023 (or 126012 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2895432505632 in words is "two trillion, eight hundred ninety-five billion, four hundred thirty-two million, five hundred five thousand, six hundred thirty-two".