1540340560 has 80 divisors (see below), whose sum is σ = 3954121920. Its totient is φ = 553349120.

The previous prime is 1540340489. The next prime is 1540340561. The reversal of 1540340560 is 650430451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1540340560² = 4745298081562227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540340561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62496 + ... + 83584.

It is an arithmetic number, because the mean of its divisors is an integer number (49426524).

Almost surely, 2^1540340560 is an apocalyptic number.

1540340560 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 1540340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977060960).

1540340560 is an abundant number, since it is smaller than the sum of its proper divisors (2413781360).

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

1540340560 is a wasteful number, since it uses less digits than its factorization.

1540340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21196 (or 21190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1540340560 is about 39247.1726370193. The cubic root of 1540340560 is about 1154.8854693003.

The spelling of 1540340560 in words is "one billion, five hundred forty million, three hundred forty thousand, five hundred sixty".