2415132540 has 144 divisors (see below), whose sum is σ = 7786527840. Its totient is φ = 605928960.

The previous prime is 2415132509. The next prime is 2415132583. The reversal of 2415132540 is 452315142.

2415132540 is a `hidden beast` number, since 2 + 41 + 51 + 32 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882975 + ... + 885705.

It is an arithmetic number, because the mean of its divisors is an integer number (54073110).

Almost surely, 2^2415132540 is an apocalyptic number.

2415132540 is a gapful number since it is divisible by the number (20) 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 2415132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893263920).

2415132540 is an abundant number, since it is smaller than the sum of its proper divisors (5371395300).

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

2415132540 is a wasteful number, since it uses less digits than its factorization.

2415132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2415132540 is about 49143.9980058603. The cubic root of 2415132540 is about 1341.6739568465.

Adding to 2415132540 its reverse (452315142), we get a palindrome (2867447682).

The spelling of 2415132540 in words is "two billion, four hundred fifteen million, one hundred thirty-two thousand, five hundred forty".