2420704080 has 120 divisors (see below), whose sum is σ = 8201749608. Its totient is φ = 639787008.

The previous prime is 2420704073. The next prime is 2420704087. The reversal of 2420704080 is 804070242.

It is an interprime number because it is at equal distance from previous prime (2420704073) and next prime (2420704087).

It can be written as a sum of positive squares in 4 ways, for example, as 229340736 + 2191363344 = 15144^2 + 46812^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420704087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66484 + ... + 96236.

Almost surely, 2^2420704080 is an apocalyptic number.

2420704080 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 2420704080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100874804).

2420704080 is an abundant number, since it is smaller than the sum of its proper divisors (5781045528).

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

2420704080 is a wasteful number, since it uses less digits than its factorization.

2420704080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885 (or 29876 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2420704080 is about 49200.6512152024. The cubic root of 2420704080 is about 1342.7048801470.

The spelling of 2420704080 in words is "two billion, four hundred twenty million, seven hundred four thousand, eighty".