2009019457224 has 72 divisors (see below), whose sum is σ = 5891835943890. Its totient is φ = 618159829248.

The previous prime is 2009019457223. The next prime is 2009019457241. The reversal of 2009019457224 is 4227549109002.

2009019457224 is a `hidden beast` number, since 200 + 90 + 1 + 94 + 57 + 224 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 698411204100 + 1310608253124 = 835710^2 + 1144818^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2009019457224.

It is not an unprimeable number, because it can be changed into a prime (2009019457223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82541229 + ... + 82565564.

Almost surely, 2^{2009019457224} is an apocalyptic number.

2009019457224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2009019457224 is an abundant number, since it is smaller than the sum of its proper divisors (3882816486666).

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

2009019457224 is a wasteful number, since it uses less digits than its factorization.

2009019457224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165106831 (or 165106811 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2009019457224 in words is "two trillion, nine billion, nineteen million, four hundred fifty-seven thousand, two hundred twenty-four".