2427210224640 has 528 divisors, whose sum is σ = 8863506724800. Its totient is φ = 612453187584.

The previous prime is 2427210224633. The next prime is 2427210224683. The reversal of 2427210224640 is 464220127242.

2427210224640 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 2 + 1 + 0 + 2 + 2 + 4 + 640 = 666.

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 = 2427210224595 and 2427210224604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1408710819 + ... + 1408712541.

Almost surely, 2^{2427210224640} is an apocalyptic number.

2427210224640 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 2427210224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431753362400).

2427210224640 is an abundant number, since it is smaller than the sum of its proper divisors (6436296500160).

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

2427210224640 is a wasteful number, since it uses less digits than its factorization.

2427210224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2427210224640 in words is "two trillion, four hundred twenty-seven billion, two hundred ten million, two hundred twenty-four thousand, six hundred forty".