2414080160 has 48 divisors (see below), whose sum is σ = 5708152296. Its totient is φ = 964804608.

The previous prime is 2414080153. The next prime is 2414080171. The reversal of 2414080160 is 610804142.

2414080160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2413953424 + 126736 = 49132^2 + 356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201704 + ... + 213336.

Almost surely, 2^2414080160 is an apocalyptic number.

2414080160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414080160 is an abundant number, since it is smaller than the sum of its proper divisors (3294072136).

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

2414080160 is a wasteful number, since it uses less digits than its factorization.

2414080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12937 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2414080160 is about 49133.2897331331. The cubic root of 2414080160 is about 1341.4790529854.

The spelling of 2414080160 in words is "two billion, four hundred fourteen million, eighty thousand, one hundred sixty".