1540057024 has 84 divisors (see below), whose sum is σ = 3407657904. Its totient is φ = 689920000.

The previous prime is 1540057019. The next prime is 1540057061. The reversal of 1540057024 is 4207500451.

It is a junction number, because it is equal to n+sod(n) for n = 1540056983 and 1540057001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548424 + ... + 551224.

It is an arithmetic number, because the mean of its divisors is an integer number (40567356).

Almost surely, 2^1540057024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540057024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703828952).

1540057024 is an abundant number, since it is smaller than the sum of its proper divisors (1867600880).

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

1540057024 is a wasteful number, since it uses less digits than its factorization.

1540057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 1540057024 is about 39243.5602870076. The cubic root of 1540057024 is about 1154.8146036514.

Adding to 1540057024 its reverse (4207500451), we get a palindrome (5747557475).

The spelling of 1540057024 in words is "one billion, five hundred forty million, fifty-seven thousand, twenty-four".