2005348026240 has 1280 divisors, whose sum is σ = 8169416640000. Its totient is φ = 464702717952.

The previous prime is 2005348026197. The next prime is 2005348026263. The reversal of 2005348026240 is 426208435002.

2005348026240 is a `hidden beast` number, since 2 + 0 + 0 + 534 + 80 + 2 + 6 + 2 + 40 = 666.

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 = 2005348026195 and 2005348026204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2548091127 + ... + 2548091913.

It is an arithmetic number, because the mean of its divisors is an integer number (6382356750).

Almost surely, 2^{2005348026240} is an apocalyptic number.

2005348026240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005348026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084708320000).

2005348026240 is an abundant number, since it is smaller than the sum of its proper divisors (6164068613760).

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

2005348026240 is a wasteful number, since it uses less digits than its factorization.

2005348026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2005348026240 in words is "two trillion, five billion, three hundred forty-eight million, twenty-six thousand, two hundred forty".