2042193137184 has 72 divisors (see below), whose sum is σ = 5841056163852. Its totient is φ = 676796167680.

The previous prime is 2042193137161. The next prime is 2042193137197. The reversal of 2042193137184 is 4817313912402.

2042193137184 is a `hidden beast` number, since 2 + 0 + 421 + 93 + 137 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2004546272400 + 37646864784 = 1415820^2 + 194028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2042193137184² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20444247 + ... + 20543894.

Almost surely, 2^{2042193137184} is an apocalyptic number.

2042193137184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042193137184 is an abundant number, since it is smaller than the sum of its proper divisors (3798863026668).

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

2042193137184 is a wasteful number, since it uses less digits than its factorization.

2042193137184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988330 (or 40988319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2042193137184 in words is "two trillion, forty-two billion, one hundred ninety-three million, one hundred thirty-seven thousand, one hundred eighty-four".