2452645617120 has 432 divisors, whose sum is σ = 8725898654928. Its totient is φ = 651422269440.

The previous prime is 2452645617109. The next prime is 2452645617127. The reversal of 2452645617120 is 217165462542.

2452645617120 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 6 + 4 + 5 + 617 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452645617127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269783775 + ... + 269792865.

It is an arithmetic number, because the mean of its divisors is an integer number (20198839479).

Almost surely, 2^{2452645617120} is an apocalyptic number.

2452645617120 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 2452645617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362949327464).

2452645617120 is an abundant number, since it is smaller than the sum of its proper divisors (6273253037808).

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

2452645617120 is an frugal number, since it uses more digits than its factorization.

2452645617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2452645617120 in words is "two trillion, four hundred fifty-two billion, six hundred forty-five million, six hundred seventeen thousand, one hundred twenty".