642540224 has 56 divisors (see below), whose sum is σ = 1351897728. Its totient is φ = 302469120.

The previous prime is 642540209. The next prime is 642540263. The reversal of 642540224 is 422045246.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69032 + ... + 77784.

Almost surely, 2^642540224 is an apocalyptic number.

642540224 is a gapful number since it is divisible by the number (64) 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 642540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675948864).

642540224 is an abundant number, since it is smaller than the sum of its proper divisors (709357504).

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

642540224 is a wasteful number, since it uses less digits than its factorization.

642540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 642540224 is about 25348.3771472653. The cubic root of 642540224 is about 862.9125264302.

The spelling of 642540224 in words is "six hundred forty-two million, five hundred forty thousand, two hundred twenty-four".