2415180240 has 400 divisors, whose sum is σ = 9454680576. Its totient is φ = 566092800.

The previous prime is 2415180239. The next prime is 2415180247. The reversal of 2415180240 is 420815142.

2415180240 is a `hidden beast` number, since 2 + 415 + 1 + 8 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415180247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209134 + ... + 2210226.

Almost surely, 2^2415180240 is an apocalyptic number.

2415180240 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 2415180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727340288).

2415180240 is an abundant number, since it is smaller than the sum of its proper divisors (7039500336).

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

2415180240 is a wasteful number, since it uses less digits than its factorization.

2415180240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2415180240 is about 49144.4833119649. The cubic root of 2415180240 is about 1341.6827896849.

Adding to 2415180240 its reverse (420815142), we get a palindrome (2835995382).

The spelling of 2415180240 in words is "two billion, four hundred fifteen million, one hundred eighty thousand, two hundred forty".