2428182064 has 320 divisors, whose sum is σ = 6606720000. Its totient is φ = 853493760.

The previous prime is 2428181971. The next prime is 2428182067. The reversal of 2428182064 is 4602818242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428182067) 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, 33262732 + ... + 33262804.

It is an arithmetic number, because the mean of its divisors is an integer number (20646000).

Almost surely, 2^2428182064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428182064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303360000).

2428182064 is an abundant number, since it is smaller than the sum of its proper divisors (4178537936).

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

2428182064 is a wasteful number, since it uses less digits than its factorization.

2428182064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 2428182064 is about 49276.5873818389. The cubic root of 2428182064 is about 1344.0860766630.

The spelling of 2428182064 in words is "two billion, four hundred twenty-eight million, one hundred eighty-two thousand, sixty-four".