1540382000 has 40 divisors (see below), whose sum is σ = 3724648512. Its totient is φ = 616152000.

The previous prime is 1540381981. The next prime is 1540382027. The reversal of 1540382000 is 2830451.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383096 + ... + 387095.

Almost surely, 2^1540382000 is an apocalyptic number.

1540382000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540382000 is an abundant number, since it is smaller than the sum of its proper divisors (2184266512).

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

1540382000 is an equidigital number, since it uses as much as digits as its factorization.

1540382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770214 (or 770198 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1540382000 is about 39247.7005695875. The cubic root of 1540382000 is about 1154.8958258898.

The spelling of 1540382000 in words is "one billion, five hundred forty million, three hundred eighty-two thousand".