2442284064 has 144 divisors (see below), whose sum is σ = 7761839904. Its totient is φ = 721996800.

The previous prime is 2442284063. The next prime is 2442284081. The reversal of 2442284064 is 4604822442.

It is a happy number.

2442284064 is a `hidden beast` number, since 24 + 4 + 228 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2442284063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120487 + ... + 139289.

It is an arithmetic number, because the mean of its divisors is an integer number (53901666).

Almost surely, 2^2442284064 is an apocalyptic number.

2442284064 is a gapful number since it is divisible by the number (24) 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 2442284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880919952).

2442284064 is an abundant number, since it is smaller than the sum of its proper divisors (5319555840).

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

2442284064 is a wasteful number, since it uses less digits than its factorization.

2442284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871 (or 18860 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2442284064 is about 49419.4704949375. The cubic root of 2442284064 is about 1346.6830437290.

The spelling of 2442284064 in words is "two billion, four hundred forty-two million, two hundred eighty-four thousand, sixty-four".