2042475874560 has 1728 divisors, whose sum is σ = 8678202624000. Its totient is φ = 437094973440.

The previous prime is 2042475874529. The next prime is 2042475874601. The reversal of 2042475874560 is 654785742402.

2042475874560 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 7 + 5 + 8 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042475874497 and 2042475874506.

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, 5689347661 + ... + 5689348019.

It is an arithmetic number, because the mean of its divisors is an integer number (5022108000).

Almost surely, 2^{2042475874560} is an apocalyptic number.

2042475874560 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 2042475874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339101312000).

2042475874560 is an abundant number, since it is smaller than the sum of its proper divisors (6635726749440).

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

2042475874560 is a wasteful number, since it uses less digits than its factorization.

2042475874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 2042475874560 in words is "two trillion, forty-two billion, four hundred seventy-five million, eight hundred seventy-four thousand, five hundred sixty".