2415882240 has 416 divisors, whose sum is σ = 9129360960. Its totient is φ = 603979776.

The previous prime is 2415882193. The next prime is 2415882241. The reversal of 2415882240 is 422885142.

2415882240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2415882195 and 2415882204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415882241) 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, 9400192 + ... + 9400448.

Almost surely, 2^2415882240 is an apocalyptic number.

2415882240 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 2415882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564680480).

2415882240 is an abundant number, since it is smaller than the sum of its proper divisors (6713478720).

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

2415882240 is a wasteful number, since it uses less digits than its factorization.

2415882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2415882240 is about 49151.6249985695. The cubic root of 2415882240 is about 1341.8127689529.

The spelling of 2415882240 in words is "two billion, four hundred fifteen million, eight hundred eighty-two thousand, two hundred forty".