2415160800 has 720 divisors, whose sum is σ = 9845744832. Its totient is φ = 572313600.

The previous prime is 2415160799. The next prime is 2415160877. The reversal of 2415160800 is 80615142.

2415160800 is a `hidden beast` number, since 2 + 4 + 1 + 51 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39592770 + ... + 39592830.

Almost surely, 2^2415160800 is an apocalyptic number.

2415160800 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 2415160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922872416).

2415160800 is an abundant number, since it is smaller than the sum of its proper divisors (7430584032).

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

2415160800 is a wasteful number, since it uses less digits than its factorization.

2415160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2415160800 is about 49144.2855274141. The cubic root of 2415160800 is about 1341.6791899006.

Adding to 2415160800 its reverse (80615142), we get a palindrome (2495775942).

The spelling of 2415160800 in words is "two billion, four hundred fifteen million, one hundred sixty thousand, eight hundred".