2427521056000 has 72 divisors (see below), whose sum is σ = 6047258470344. Its totient is φ = 971008409600.

The previous prime is 2427521055991. The next prime is 2427521056049. The reversal of 2427521056000 is 6501257242.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 2427513570304 = 2736^2 + 1558048^2 .

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 7 ways as a sum of consecutive naturals, for example, 37898017 + ... + 37962016.

It is an arithmetic number, because the mean of its divisors is an integer number (83989700977).

Almost surely, 2^{2427521056000} is an apocalyptic number.

2427521056000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427521056000 is an abundant number, since it is smaller than the sum of its proper divisors (3619737414344).

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

2427521056000 is an frugal number, since it uses more digits than its factorization.

2427521056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75860064 (or 75860040 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 2427521056000 in words is "two trillion, four hundred twenty-seven billion, five hundred twenty-one million, fifty-six thousand".