2415018240 has 180 divisors, whose sum is σ = 8641747884. Its totient is φ = 643977216.

The previous prime is 2415018233. The next prime is 2415018257. The reversal of 2415018240 is 428105142.

2415018240 is a `hidden beast` number, since 2 + 41 + 501 + 82 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 2031485184 = 19584^2 + 45072^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92034 + ... + 115326.

Almost surely, 2^2415018240 is an apocalyptic number.

2415018240 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 2415018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320873942).

2415018240 is an abundant number, since it is smaller than the sum of its proper divisors (6226729644).

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

2415018240 is an equidigital number, since it uses as much as digits as its factorization.

2415018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23326 (or 23303 counting only the distinct ones).

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

The square root of 2415018240 is about 49142.8350830515. The cubic root of 2415018240 is about 1341.6527908925.

The spelling of 2415018240 in words is "two billion, four hundred fifteen million, eighteen thousand, two hundred forty".