1905724242 has 48 divisors (see below), whose sum is σ = 4390883640. Its totient is φ = 595286016.

The previous prime is 1905724237. The next prime is 1905724243. The reversal of 1905724242 is 2424275091.

1905724242 is a `hidden beast` number, since 1 + 9 + 0 + 572 + 42 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1699830441 + 205893801 = 41229^2 + 14349^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1905724197 and 1905724206.

It is not an unprimeable number, because it can be changed into a prime (1905724243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57934 + ... + 84662.

Almost surely, 2^1905724242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1905724242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195441820).

1905724242 is an abundant number, since it is smaller than the sum of its proper divisors (2485159398).

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

1905724242 is a wasteful number, since it uses less digits than its factorization.

1905724242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26987 (or 26984 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1905724242 is about 43654.6016131175. The cubic root of 1905724242 is about 1239.8049125103.

The spelling of 1905724242 in words is "one billion, nine hundred five million, seven hundred twenty-four thousand, two hundred forty-two".