19005040 has 20 divisors (see below), whose sum is σ = 44186904. Its totient is φ = 7601984.

The previous prime is 19005037. The next prime is 19005059. The reversal of 19005040 is 4050091.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×19005040² = 722383090803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19004999 and 19005017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118702 + ... + 118861.

Almost surely, 2^19005040 is an apocalyptic number.

19005040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19005040 is an abundant number, since it is smaller than the sum of its proper divisors (25181864).

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

19005040 is a wasteful number, since it uses less digits than its factorization.

19005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237576 (or 237570 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 19005040 is about 4359.4770328561. The cubic root of 19005040 is about 266.8637570745.

The spelling of 19005040 in words is "nineteen million, five thousand, forty".