2415536640 has 480 divisors, whose sum is σ = 9491017536. Its totient is φ = 583925760.

The previous prime is 2415536623. The next prime is 2415536687. The reversal of 2415536640 is 466355142.

2415536640 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2415536595 and 2415536604.

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, 6842704 + ... + 6843056.

Almost surely, 2^2415536640 is an apocalyptic number.

2415536640 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 2415536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745508768).

2415536640 is an abundant number, since it is smaller than the sum of its proper divisors (7075480896).

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

2415536640 is an equidigital number, since it uses as much as digits as its factorization.

2415536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2415536640 is about 49148.1092210067. The cubic root of 2415536640 is about 1341.7487823065.

The spelling of 2415536640 in words is "two billion, four hundred fifteen million, five hundred thirty-six thousand, six hundred forty".