1540111020 has 96 divisors (see below), whose sum is σ = 4936329216. Its totient is φ = 351456000.

The previous prime is 1540111019. The next prime is 1540111057. The reversal of 1540111020 is 201110451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 291805 + ... + 297035.

It is an arithmetic number, because the mean of its divisors is an integer number (51420096).

Almost surely, 2^1540111020 is an apocalyptic number.

1540111020 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 1540111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468164608).

1540111020 is an abundant number, since it is smaller than the sum of its proper divisors (3396218196).

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

1540111020 is a wasteful number, since it uses less digits than its factorization.

1540111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1540111020 is about 39244.2482409843. The cubic root of 1540111020 is about 1154.8280998271.

Adding to 1540111020 its reverse (201110451), we get a palindrome (1741221471).

The spelling of 1540111020 in words is "one billion, five hundred forty million, one hundred eleven thousand, twenty".