2420755920 has 480 divisors, whose sum is σ = 9275834880. Its totient is φ = 560701440.

The previous prime is 2420755901. The next prime is 2420755937. The reversal of 2420755920 is 295570242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30642441 + ... + 30642519.

It is an arithmetic number, because the mean of its divisors is an integer number (19324656).

Almost surely, 2^2420755920 is an apocalyptic number.

2420755920 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 2420755920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637917440).

2420755920 is an abundant number, since it is smaller than the sum of its proper divisors (6855078960).

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

2420755920 is a wasteful number, since it uses less digits than its factorization.

2420755920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2420755920 is about 49201.1780346772. The cubic root of 2420755920 is about 1342.7144648687.

The spelling of 2420755920 in words is "two billion, four hundred twenty million, seven hundred fifty-five thousand, nine hundred twenty".