1540735340 has 48 divisors (see below), whose sum is σ = 3358817280. Its totient is φ = 593039040.

The previous prime is 1540735331. The next prime is 1540735349. The reversal of 1540735340 is 435370451.

It is an interprime number because it is at equal distance from previous prime (1540735331) and next prime (1540735349).

It is a junction number, because it is equal to n+sod(n) for n = 1540735297 and 1540735306.

It is not an unprimeable number, because it can be changed into a prime (1540735349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104039 + ... + 117921.

It is an arithmetic number, because the mean of its divisors is an integer number (69975360).

Almost surely, 2^1540735340 is an apocalyptic number.

1540735340 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 1540735340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679408640).

1540735340 is an abundant number, since it is smaller than the sum of its proper divisors (1818081940).

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

1540735340 is a wasteful number, since it uses less digits than its factorization.

1540735340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 1540735340 is about 39252.2017216869. The cubic root of 1540735340 is about 1154.9841242672.

The spelling of 1540735340 in words is "one billion, five hundred forty million, seven hundred thirty-five thousand, three hundred forty".