2427345163200 has 336 divisors, whose sum is σ = 8468424637920. Its totient is φ = 606596628480.

The previous prime is 2427345163189. The next prime is 2427345163219. The reversal of 2427345163200 is 23615437242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18948966 + ... + 19076634.

Almost surely, 2^{2427345163200} is an apocalyptic number.

2427345163200 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 2427345163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234212318960).

2427345163200 is an abundant number, since it is smaller than the sum of its proper divisors (6041079474720).

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

2427345163200 is a wasteful number, since it uses less digits than its factorization.

2427345163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127944 (or 127929 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2427345163200 in words is "two trillion, four hundred twenty-seven billion, three hundred forty-five million, one hundred sixty-three thousand, two hundred".