2427671204160 has 896 divisors, whose sum is σ = 9089059921920. Its totient is φ = 544452378624.

The previous prime is 2427671204131. The next prime is 2427671204207. The reversal of 2427671204160 is 614021767242.

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 127 ways as a sum of consecutive naturals, for example, 520621989 + ... + 520626651.

Almost surely, 2^{2427671204160} is an apocalyptic number.

2427671204160 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 2427671204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544529960960).

2427671204160 is an abundant number, since it is smaller than the sum of its proper divisors (6661388717760).

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

2427671204160 is a wasteful number, since it uses less digits than its factorization.

2427671204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 2427671204160 in words is "two trillion, four hundred twenty-seven billion, six hundred seventy-one million, two hundred four thousand, one hundred sixty".