2420493120 has 336 divisors, whose sum is σ = 8752545360. Its totient is φ = 613122048.

The previous prime is 2420493107. The next prime is 2420493137. The reversal of 2420493120 is 213940242.

It can be written as a sum of positive squares in 8 ways, for example, as 9290304 + 2411202816 = 3048^2 + 49104^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6096762 + ... + 6097158.

Almost surely, 2^2420493120 is an apocalyptic number.

2420493120 is a gapful number since it is divisible by the number (20) 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 2420493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376272680).

2420493120 is an abundant number, since it is smaller than the sum of its proper divisors (6332052240).

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

2420493120 is a wasteful number, since it uses less digits than its factorization.

2420493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2420493120 is about 49198.5072944292. The cubic root of 2420493120 is about 1342.6658742434.

The spelling of 2420493120 in words is "two billion, four hundred twenty million, four hundred ninety-three thousand, one hundred twenty".