2427149600064 has 112 divisors (see below), whose sum is σ = 8154709014400. Its totient is φ = 693471310848.

The previous prime is 2427149600047. The next prime is 2427149600093. The reversal of 2427149600064 is 4600069417242.

2427149600064 is a `hidden beast` number, since 2 + 4 + 27 + 14 + 9 + 600 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2427149599992 and 2427149600019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100316509 + ... + 100340700.

Almost surely, 2^{2427149600064} is an apocalyptic number.

2427149600064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2427149600064 is an abundant number, since it is smaller than the sum of its proper divisors (5727559414336).

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

2427149600064 is a wasteful number, since it uses less digits than its factorization.

2427149600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200657237 (or 200657221 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2427149600064 in words is "two trillion, four hundred twenty-seven billion, one hundred forty-nine million, six hundred thousand, sixty-four".