2041815829560 has 256 divisors, whose sum is σ = 6834058076160. Its totient is φ = 484628797440.

The previous prime is 2041815829549. The next prime is 2041815829583. The reversal of 2041815829560 is 659285181402.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 13319509 + ... + 13471931.

It is an arithmetic number, because the mean of its divisors is an integer number (26695539360).

Almost surely, 2^{2041815829560} is an apocalyptic number.

2041815829560 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 2041815829560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417029038080).

2041815829560 is an abundant number, since it is smaller than the sum of its proper divisors (4792242246600).

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

2041815829560 is a wasteful number, since it uses less digits than its factorization.

2041815829560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152758 (or 152754 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 2041815829560 in words is "two trillion, forty-one billion, eight hundred fifteen million, eight hundred twenty-nine thousand, five hundred sixty".