2420584000 has 56 divisors (see below), whose sum is σ = 5994596088. Its totient is φ = 968230400.

The previous prime is 2420583967. The next prime is 2420584007. The reversal of 2420584000 is 4850242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 2407276096 = 3648^2 + 49064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2420584007) by changing a digit.

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, 143287 + ... + 159286.

Almost surely, 2^2420584000 is an apocalyptic number.

2420584000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420584000 is an abundant number, since it is smaller than the sum of its proper divisors (3574012088).

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

2420584000 is an equidigital number, since it uses as much as digits as its factorization.

2420584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302600 (or 302580 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2420584000 is about 49199.4308910174. The cubic root of 2420584000 is about 1342.6826779746.

The spelling of 2420584000 in words is "two billion, four hundred twenty million, five hundred eighty-four thousand".