2452468052160 has 672 divisors, whose sum is σ = 10020484830720. Its totient is φ = 559280775168.

The previous prime is 2452468052159. The next prime is 2452468052161. The reversal of 2452468052160 is 612508642542.

2452468052160 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 4 + 68 + 0 + 521 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2452468052159) and next prime (2452468052161).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2452468052161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248749311 + ... + 248759169.

It is an arithmetic number, because the mean of its divisors is an integer number (14911435760).

Almost surely, 2^{2452468052160} is an apocalyptic number.

2452468052160 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 2452468052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010242415360).

2452468052160 is an abundant number, since it is smaller than the sum of its proper divisors (7568016778560).

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

2452468052160 is an equidigital number, since it uses as much as digits as its factorization.

2452468052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2452468052160 in words is "two trillion, four hundred fifty-two billion, four hundred sixty-eight million, fifty-two thousand, one hundred sixty".