2420534304 has 72 divisors (see below), whose sum is σ = 6893922672. Its totient is φ = 805610880.

The previous prime is 2420534293. The next prime is 2420534309. The reversal of 2420534304 is 4034350242.

2420534304 is a `hidden beast` number, since 24 + 205 + 3 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2420534309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192927 + ... + 205089.

It is an arithmetic number, because the mean of its divisors is an integer number (95748926).

Almost surely, 2^2420534304 is an apocalyptic number.

2420534304 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 2420534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446961336).

2420534304 is an abundant number, since it is smaller than the sum of its proper divisors (4473388368).

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

2420534304 is a wasteful number, since it uses less digits than its factorization.

2420534304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12870 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2420534304 is about 49198.9258419328. The cubic root of 2420534304 is about 1342.6734892258.

Adding to 2420534304 its reverse (4034350242), we get a palindrome (6454884546).

The spelling of 2420534304 in words is "two billion, four hundred twenty million, five hundred thirty-four thousand, three hundred four".