2434806080 has 140 divisors (see below), whose sum is σ = 6765927540. Its totient is φ = 834527232.

The previous prime is 2434806037. The next prime is 2434806109. The reversal of 2434806080 is 806084342.

It can be written as a sum of positive squares in 2 ways, for example, as 1475789056 + 959017024 = 38416^2 + 30968^2 .

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2434806080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 766736 + ... + 769904.

Almost surely, 2^2434806080 is an apocalyptic number.

2434806080 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 2434806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382963770).

2434806080 is an abundant number, since it is smaller than the sum of its proper divisors (4331121460).

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

2434806080 is an frugal number, since it uses more digits than its factorization.

2434806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2434806080 is about 49343.7542146927. The cubic root of 2434806080 is about 1345.3071772984.

The spelling of 2434806080 in words is "two billion, four hundred thirty-four million, eight hundred six thousand, eighty".