2427117840 has 120 divisors (see below), whose sum is σ = 9315528768. Its totient is φ = 554768640.

The previous prime is 2427117839. The next prime is 2427117899. The reversal of 2427117840 is 487117242.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2427117795 and 2427117804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235746 + ... + 245825.

Almost surely, 2^2427117840 is an apocalyptic number.

2427117840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427117840 is an abundant number, since it is smaller than the sum of its proper divisors (6888410928).

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

2427117840 is a wasteful number, since it uses less digits than its factorization.

2427117840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481597 (or 481588 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2427117840 is about 49265.7877233278. The cubic root of 2427117840 is about 1343.8896858863.

The spelling of 2427117840 in words is "two billion, four hundred twenty-seven million, one hundred seventeen thousand, eight hundred forty".