2414434464 has 72 divisors (see below), whose sum is σ = 7394217012. Its totient is φ = 742901760.

The previous prime is 2414434459. The next prime is 2414434489. The reversal of 2414434464 is 4644344142.

2414434464 is a `hidden beast` number, since 24 + 144 + 34 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2410024464 + 4410000 = 49092^2 + 2100^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318697 + ... + 326184.

Almost surely, 2^2414434464 is an apocalyptic number.

2414434464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414434464 is an abundant number, since it is smaller than the sum of its proper divisors (4979782548).

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

2414434464 is a wasteful number, since it uses less digits than its factorization.

2414434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644910 (or 644899 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 2414434464 is about 49136.8951400066. The cubic root of 2414434464 is about 1341.5446774486.

The spelling of 2414434464 in words is "two billion, four hundred fourteen million, four hundred thirty-four thousand, four hundred sixty-four".