2005390295040 has 512 divisors, whose sum is σ = 7045618567680. Its totient is φ = 483026534400.

The previous prime is 2005390295033. The next prime is 2005390295047. The reversal of 2005390295040 is 405920935002.

It is an interprime number because it is at equal distance from previous prime (2005390295033) and next prime (2005390295047).

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 2005390295040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005390295047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902921130 + ... + 902923350.

It is an arithmetic number, because the mean of its divisors is an integer number (13760973765).

Almost surely, 2^{2005390295040} is an apocalyptic number.

2005390295040 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 2005390295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522809283840).

2005390295040 is an abundant number, since it is smaller than the sum of its proper divisors (5040228272640).

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

2005390295040 is a wasteful number, since it uses less digits than its factorization.

2005390295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 2005390295040 in words is "two trillion, five billion, three hundred ninety million, two hundred ninety-five thousand, forty".