2420440480 has 48 divisors (see below), whose sum is σ = 5739650280. Its totient is φ = 964559872.

The previous prime is 2420440471. The next prime is 2420440541. The reversal of 2420440480 is 840440242.

It can be written as a sum of positive squares in 4 ways, for example, as 1403851024 + 1016589456 = 37468^2 + 31884^2 .

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 7 ways as a sum of consecutive naturals, for example, 14922 + ... + 71158.

Almost surely, 2^2420440480 is an apocalyptic number.

2420440480 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 2420440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869825140).

2420440480 is an abundant number, since it is smaller than the sum of its proper divisors (3319209800).

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

2420440480 is a wasteful number, since it uses less digits than its factorization.

2420440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56521 (or 56513 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 2420440480 is about 49197.9723159400. The cubic root of 2420440480 is about 1342.6561409039.

The spelling of 2420440480 in words is "two billion, four hundred twenty million, four hundred forty thousand, four hundred eighty".