2041058171952 has 480 divisors, whose sum is σ = 6185078415360. Its totient is φ = 627160320000.

The previous prime is 2041058171939. The next prime is 2041058171963. The reversal of 2041058171952 is 2591718501402.

2041058171952 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 581 + 7 + 19 + 52 = 666.

It is a super-2 number, since 2×2041058171952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2041058171898 and 2041058171907.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292626299 + ... + 1292627877.

It is an arithmetic number, because the mean of its divisors is an integer number (12885580032).

Almost surely, 2^{2041058171952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041058171952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092539207680).

2041058171952 is an abundant number, since it is smaller than the sum of its proper divisors (4144020243408).

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

2041058171952 is a wasteful number, since it uses less digits than its factorization.

2041058171952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 2041058171952 in words is "two trillion, forty-one billion, fifty-eight million, one hundred seventy-one thousand, nine hundred fifty-two".