1540638000 has 480 divisors, whose sum is σ = 6083610624. Its totient is φ = 360000000.

The previous prime is 1540637993. The next prime is 1540638007. The reversal of 1540638000 is 8360451.

It is an interprime number because it is at equal distance from previous prime (1540637993) and next prime (1540638007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540638007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6137875 + ... + 6138125.

Almost surely, 2^1540638000 is an apocalyptic number.

1540638000 is a gapful number since it is divisible by the number (10) 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 1540638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041805312).

1540638000 is an abundant number, since it is smaller than the sum of its proper divisors (4542972624).

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

1540638000 is a wasteful number, since it uses less digits than its factorization.

1540638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1540638000 is about 39250.9617716560. The cubic root of 1540638000 is about 1154.9598007036.

Adding to 1540638000 its reverse (8360451), we get a palindrome (1548998451).

The spelling of 1540638000 in words is "one billion, five hundred forty million, six hundred thirty-eight thousand".