1540051540 has 24 divisors (see below), whose sum is σ = 3267453672. Its totient is φ = 609669120.

The previous prime is 1540051519. The next prime is 1540051543. The reversal of 1540051540 is 451500451.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 1535229124 = 2196^2 + 39182^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540051543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394981 + ... + 398860.

It is an arithmetic number, because the mean of its divisors is an integer number (136143903).

Almost surely, 2^1540051540 is an apocalyptic number.

1540051540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540051540 is an abundant number, since it is smaller than the sum of its proper divisors (1727402132).

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

1540051540 is a wasteful number, since it uses less digits than its factorization.

1540051540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793947 (or 793945 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1540051540 is about 39243.4904156091. The cubic root of 1540051540 is about 1154.8132329206.

Adding to 1540051540 its reverse (451500451), we get a palindrome (1991551991).

The spelling of 1540051540 in words is "one billion, five hundred forty million, fifty-one thousand, five hundred forty".