4242284880 has 80 divisors (see below), whose sum is σ = 13160050560. Its totient is φ = 1130504704.

The previous prime is 4242284863. The next prime is 4242284881. The reversal of 4242284880 is 884822424.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4242284880² = 35993962006153228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242284881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404989 + ... + 415331.

It is an arithmetic number, because the mean of its divisors is an integer number (164500632).

Almost surely, 2^4242284880 is an apocalyptic number.

4242284880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242284880 is an abundant number, since it is smaller than the sum of its proper divisors (8917765680).

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

4242284880 is a wasteful number, since it uses less digits than its factorization.

4242284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12062 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The square root of 4242284880 is about 65132.8249041910. The cubic root of 4242284880 is about 1618.8251503202.

The spelling of 4242284880 in words is "four billion, two hundred forty-two million, two hundred eighty-four thousand, eight hundred eighty".