1540041760 has 96 divisors (see below), whose sum is σ = 3726414720. Its totient is φ = 601294848.

The previous prime is 1540041757. The next prime is 1540041761. The reversal of 1540041760 is 671400451.

It is not an unprimeable number, because it can be changed into a prime (1540041761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181269 + ... + 1182571.

It is an arithmetic number, because the mean of its divisors is an integer number (38816820).

Almost surely, 2^1540041760 is an apocalyptic number.

1540041760 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 1540041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863207360).

1540041760 is an abundant number, since it is smaller than the sum of its proper divisors (2186372960).

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

1540041760 is a wasteful number, since it uses less digits than its factorization.

1540041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1540041760 is about 39243.3658087580. The cubic root of 1540041760 is about 1154.8107883926.

The spelling of 1540041760 in words is "one billion, five hundred forty million, forty-one thousand, seven hundred sixty".