2427223680 has 384 divisors, whose sum is σ = 9843799680. Its totient is φ = 539467776.

The previous prime is 2427223661. The next prime is 2427223693. The reversal of 2427223680 is 863227242.

It is a happy number.

2427223680 is a `hidden beast` number, since 2 + 427 + 223 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491027 + ... + 1492653.

It is an arithmetic number, because the mean of its divisors is an integer number (25634895).

Almost surely, 2^2427223680 is an apocalyptic number.

2427223680 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 2427223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921899840).

2427223680 is an abundant number, since it is smaller than the sum of its proper divisors (7416576000).

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

2427223680 is a wasteful number, since it uses less digits than its factorization.

2427223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2427223680 is about 49266.8618850440. The cubic root of 2427223680 is about 1343.9092200589.

The spelling of 2427223680 in words is "two billion, four hundred twenty-seven million, two hundred twenty-three thousand, six hundred eighty".