2042125205120 has 512 divisors, whose sum is σ = 6707321026560. Its totient is φ = 573872947200.

The previous prime is 2042125205093. The next prime is 2042125205149. The reversal of 2042125205120 is 215025212402.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2042125205120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27510455 + ... + 27584585.

It is an arithmetic number, because the mean of its divisors is an integer number (13100236380).

Almost surely, 2^{2042125205120} is an apocalyptic number.

2042125205120 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 2042125205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353660513280).

2042125205120 is an abundant number, since it is smaller than the sum of its proper divisors (4665195821440).

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

2042125205120 is a wasteful number, since it uses less digits than its factorization.

2042125205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74224 (or 74212 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 2042125205120 in words is "two trillion, forty-two billion, one hundred twenty-five million, two hundred five thousand, one hundred twenty".