2427431328 has 240 divisors, whose sum is σ = 8203567680. Its totient is φ = 689762304.

The previous prime is 2427431311. The next prime is 2427431329. The reversal of 2427431328 is 8231347242.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2427431292 and 2427431301.

It is not an unprimeable number, because it can be changed into a prime (2427431329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6404643 + ... + 6405021.

It is an arithmetic number, because the mean of its divisors is an integer number (34181532).

Almost surely, 2^2427431328 is an apocalyptic number.

2427431328 is a gapful number since it is divisible by the number (28) 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 2427431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101783840).

2427431328 is an abundant number, since it is smaller than the sum of its proper divisors (5776136352).

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

2427431328 is a wasteful number, since it uses less digits than its factorization.

2427431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

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

The square root of 2427431328 is about 49268.9692199867. The cubic root of 2427431328 is about 1343.9475425954.

The spelling of 2427431328 in words is "two billion, four hundred twenty-seven million, four hundred thirty-one thousand, three hundred twenty-eight".