2427682320 has 320 divisors, whose sum is σ = 9606051840. Its totient is φ = 552033792.

The previous prime is 2427682319. The next prime is 2427682321. The reversal of 2427682320 is 232867242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2427682319) and next prime (2427682321).

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

It is not an unprimeable number, because it can be changed into a prime (2427682321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4641579 + ... + 4642101.

It is an arithmetic number, because the mean of its divisors is an integer number (30018912).

Almost surely, 2^2427682320 is an apocalyptic number.

2427682320 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 2427682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803025920).

2427682320 is an abundant number, since it is smaller than the sum of its proper divisors (7178369520).

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

2427682320 is a wasteful number, since it uses less digits than its factorization.

2427682320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

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

The square root of 2427682320 is about 49271.5163152099. The cubic root of 2427682320 is about 1343.9938615791.

The spelling of 2427682320 in words is "two billion, four hundred twenty-seven million, six hundred eighty-two thousand, three hundred twenty".