2427459216 has 360 divisors, whose sum is σ = 8195261184. Its totient is φ = 616412160.

The previous prime is 2427459197. The next prime is 2427459217. The reversal of 2427459216 is 6129547242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2427459217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12322030 + ... + 12322226.

Almost surely, 2^2427459216 is an apocalyptic number.

2427459216 is a gapful number since it is divisible by the number (26) 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 2427459216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097630592).

2427459216 is an abundant number, since it is smaller than the sum of its proper divisors (5767801968).

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

2427459216 is a wasteful number, since it uses less digits than its factorization.

2427459216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 253 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2427459216 is about 49269.2522370697. The cubic root of 2427459216 is about 1343.9526893068.

The spelling of 2427459216 in words is "two billion, four hundred twenty-seven million, four hundred fifty-nine thousand, two hundred sixteen".