2434451504040 has 80 divisors (see below), whose sum is σ = 8182462010580. Its totient is φ = 649187066880.

The previous prime is 2434451504039. The next prime is 2434451504047. The reversal of 2434451504040 is 404051544342.

2434451504040 is a `hidden beast` number, since 24 + 3 + 44 + 51 + 504 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2414673582084 + 19777921956 = 1553922^2 + 140634^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2434451503986 and 2434451504004.

It is not an unprimeable number, because it can be changed into a prime (2434451504047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 375683721 + ... + 375690200.

Almost surely, 2^{2434451504040} is an apocalyptic number.

2434451504040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434451504040 is an abundant number, since it is smaller than the sum of its proper divisors (5748010506540).

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

2434451504040 is a wasteful number, since it uses less digits than its factorization.

2434451504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751373944 (or 751373931 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 2434451504040 in words is "two trillion, four hundred thirty-four billion, four hundred fifty-one million, five hundred four thousand, forty".