1540735240 has 64 divisors (see below), whose sum is σ = 3791007360. Its totient is φ = 558904320.

The previous prime is 1540735237. The next prime is 1540735271. The reversal of 1540735240 is 425370451.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186477 + ... + 194563.

It is an arithmetic number, because the mean of its divisors is an integer number (59234490).

Almost surely, 2^1540735240 is an apocalyptic number.

1540735240 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 1540735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895503680).

1540735240 is an abundant number, since it is smaller than the sum of its proper divisors (2250272120).

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

1540735240 is a wasteful number, since it uses less digits than its factorization.

1540735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 1540735240 is about 39252.2004478730. The cubic root of 1540735240 is about 1154.9840992795.

The spelling of 1540735240 in words is "one billion, five hundred forty million, seven hundred thirty-five thousand, two hundred forty".