2434035104000 has 72 divisors (see below), whose sum is σ = 6063485778168. Its totient is φ = 973614028800.

The previous prime is 2434035103987. The next prime is 2434035104069. The reversal of 2434035104000 is 4015304342.

It can be written as a sum of positive squares in 4 ways, for example, as 314658171136 + 2119376932864 = 560944^2 + 1455808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37999799 + ... + 38063798.

Almost surely, 2^{2434035104000} is an apocalyptic number.

2434035104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434035104000 is an abundant number, since it is smaller than the sum of its proper divisors (3629450674168).

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

2434035104000 is an frugal number, since it uses more digits than its factorization.

2434035104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76063628 (or 76063604 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The spelling of 2434035104000 in words is "two trillion, four hundred thirty-four billion, thirty-five million, one hundred four thousand".