1515441540 has 96 divisors (see below), whose sum is σ = 4500437760. Its totient is φ = 379703296.

The previous prime is 1515441533. The next prime is 1515441547. The reversal of 1515441540 is 451445151.

It is an interprime number because it is at equal distance from previous prime (1515441533) and next prime (1515441547).

It is a super-2 number, since 2×1515441540² = 4593126122315143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1515441498 and 1515441507.

It is not an unprimeable number, because it can be changed into a prime (1515441547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971281 + ... + 972839.

It is an arithmetic number, because the mean of its divisors is an integer number (46879560).

Almost surely, 2^1515441540 is an apocalyptic number.

1515441540 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 1515441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250218880).

1515441540 is an abundant number, since it is smaller than the sum of its proper divisors (2984996220).

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

1515441540 is a wasteful number, since it uses less digits than its factorization.

1515441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 1515441540 is about 38928.6724664482. The cubic root of 1515441540 is about 1148.6288737547.

Adding to 1515441540 its reverse (451445151), we get a palindrome (1966886691).

The spelling of 1515441540 in words is "one billion, five hundred fifteen million, four hundred forty-one thousand, five hundred forty".