2042451532305 has 192 divisors, whose sum is σ = 3865549588992. Its totient is φ = 994754027520.

The previous prime is 2042451532217. The next prime is 2042451532313. The reversal of 2042451532305 is 5032351542402.

2042451532305 is a `hidden beast` number, since 2 + 0 + 42 + 4 + 51 + 532 + 30 + 5 = 666.

It is not a de Polignac number, because 2042451532305 - 2⁸ = 2042451532049 is a prime.

It is a super-2 number, since 2×2042451532305² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042451532305.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1315164409 + ... + 1315165961.

It is an arithmetic number, because the mean of its divisors is an integer number (20133070776).

Almost surely, 2^{2042451532305} is an apocalyptic number.

It is an amenable number.

2042451532305 is a deficient number, since it is larger than the sum of its proper divisors (1823098056687).

2042451532305 is a wasteful number, since it uses less digits than its factorization.

2042451532305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2042451532305 in words is "two trillion, forty-two billion, four hundred fifty-one million, five hundred thirty-two thousand, three hundred five".