2005451014032 has 60 divisors (see below), whose sum is σ = 5623250210604. Its totient is φ = 667200568320.

The previous prime is 2005451014031. The next prime is 2005451014057. The reversal of 2005451014032 is 2304101545002.

2005451014032 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 510 + 140 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 959584813056 + 1045866200976 = 979584^2 + 1022676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2005451013987 and 2005451014005.

It is not an unprimeable number, because it can be changed into a prime (2005451014031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13290373 + ... + 13440420.

Almost surely, 2^{2005451014032} is an apocalyptic number.

It is an amenable number.

2005451014032 is an abundant number, since it is smaller than the sum of its proper divisors (3617799196572).

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

2005451014032 is a wasteful number, since it uses less digits than its factorization.

2005451014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26731328 (or 26731319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2005451014032 its reverse (2304101545002), we get a palindrome (4309552559034).

The spelling of 2005451014032 in words is "two trillion, five billion, four hundred fifty-one million, fourteen thousand, thirty-two".