1540541024 has 36 divisors (see below), whose sum is σ = 3333735972. Its totient is φ = 700244160.

The previous prime is 1540541017. The next prime is 1540541029. The reversal of 1540541024 is 4201450451.

It is a junction number, because it is equal to n+sod(n) for n = 1540540984 and 1540541002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540541029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195062 + ... + 202805.

It is an arithmetic number, because the mean of its divisors is an integer number (92603777).

Almost surely, 2^1540541024 is an apocalyptic number.

It is an amenable number.

1540541024 is an abundant number, since it is smaller than the sum of its proper divisors (1793194948).

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

1540541024 is a wasteful number, since it uses less digits than its factorization.

1540541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397899 (or 397880 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1540541024 is about 39249.7264194287. The cubic root of 1540541024 is about 1154.9355670783.

Adding to 1540541024 its reverse (4201450451), we get a palindrome (5741991475).

The spelling of 1540541024 in words is "one billion, five hundred forty million, five hundred forty-one thousand, twenty-four".