2005225624020 has 48 divisors (see below), whose sum is σ = 5618125876608. Its totient is φ = 534394058880.

The previous prime is 2005225623983. The next prime is 2005225624043. The reversal of 2005225624020 is 204265225002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10301971 + ... + 10494810.

It is an arithmetic number, because the mean of its divisors is an integer number (117044289096).

Almost surely, 2^{2005225624020} is an apocalyptic number.

2005225624020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005225624020 is an abundant number, since it is smaller than the sum of its proper divisors (3612900252588).

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

2005225624020 is a wasteful number, since it uses less digits than its factorization.

2005225624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20798400 (or 20798398 counting only the distinct ones).

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

The spelling of 2005225624020 in words is "two trillion, five billion, two hundred twenty-five million, six hundred twenty-four thousand, twenty".