2932993530432 has 672 divisors, whose sum is σ = 10176964761600. Its totient is φ = 820258762752.

The previous prime is 2932993530409. The next prime is 2932993530449. The reversal of 2932993530432 is 2340353992392.

2932993530432 is a `hidden beast` number, since 2 + 9 + 329 + 9 + 3 + 5 + 304 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997954819 + ... + 997957757.

It is an arithmetic number, because the mean of its divisors is an integer number (15144292800).

Almost surely, 2^{2932993530432} 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 2932993530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088482380800).

2932993530432 is an abundant number, since it is smaller than the sum of its proper divisors (7243971231168).

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

2932993530432 is a wasteful number, since it uses less digits than its factorization.

2932993530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 2932993530432 in words is "two trillion, nine hundred thirty-two billion, nine hundred ninety-three million, five hundred thirty thousand, four hundred thirty-two".