2005430250144 has 48 divisors (see below), whose sum is σ = 5264332032960. Its totient is φ = 668466892800.

The previous prime is 2005430250139. The next prime is 2005430250191. The reversal of 2005430250144 is 4410520345002.

It is a tau number, because it is divible by the number of its divisors (48).

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, 9573277 + ... + 9780515.

It is an arithmetic number, because the mean of its divisors is an integer number (109673584020).

Almost surely, 2^{2005430250144} is an apocalyptic number.

2005430250144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005430250144 is an abundant number, since it is smaller than the sum of its proper divisors (3258901782816).

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

2005430250144 is a wasteful number, since it uses less digits than its factorization.

2005430250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308053 (or 308045 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2005430250144 its reverse (4410520345002), we get a palindrome (6415950595146).

The spelling of 2005430250144 in words is "two trillion, five billion, four hundred thirty million, two hundred fifty thousand, one hundred forty-four".