2427009428160 has 1008 divisors, whose sum is σ = 9358914760416. Its totient is φ = 597172912128.

The previous prime is 2427009428119. The next prime is 2427009428167. The reversal of 2427009428160 is 618249007242.

2427009428160 is a `hidden beast` number, since 2 + 427 + 0 + 0 + 94 + 2 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2427009428167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1891666879 + ... + 1891668161.

Almost surely, 2^{2427009428160} is an apocalyptic number.

2427009428160 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 2427009428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679457380208).

2427009428160 is an abundant number, since it is smaller than the sum of its proper divisors (6931905332256).

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

2427009428160 is an equidigital number, since it uses as much as digits as its factorization.

2427009428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2427009428160 in words is "two trillion, four hundred twenty-seven billion, nine million, four hundred twenty-eight thousand, one hundred sixty".