1540540540 has 144 divisors (see below), whose sum is σ = 4092705792. Its totient is φ = 476784000.

The previous prime is 1540540511. The next prime is 1540540541. The reversal of 1540540540 is 450450451.

It is a super-3 number, since 3×1540540540³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

1540540540 is a modest number, since divided by 540540 gives 1540 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1540540499 and 1540540508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540540541) 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 47 ways as a sum of consecutive naturals, for example, 3574125 + ... + 3574555.

It is an arithmetic number, because the mean of its divisors is an integer number (28421568).

Almost surely, 2^1540540540 is an apocalyptic number.

1540540540 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 1540540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046352896).

1540540540 is an abundant number, since it is smaller than the sum of its proper divisors (2552165252).

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

1540540540 is a wasteful number, since it uses less digits than its factorization.

1540540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 1540540540 is about 39249.7202537802. The cubic root of 1540540540 is about 1154.9354461275.

Adding to 1540540540 its reverse (450450451), we get a palindrome (1990990991).

It can be divided in two parts, 15405 and 40540, that added together give a triangular number (55945 = T₃₃₄).

The spelling of 1540540540 in words is "one billion, five hundred forty million, five hundred forty thousand, five hundred forty".