2452517295228 has 288 divisors, whose sum is σ = 8493572505600. Its totient is φ = 588015711360.

The previous prime is 2452517295211. The next prime is 2452517295229. The reversal of 2452517295228 is 8225927152542.

2452517295228 is a `hidden beast` number, since 2 + 4 + 52 + 517 + 2 + 9 + 52 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452517295229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1071301 + ... + 2460227.

It is an arithmetic number, because the mean of its divisors is an integer number (29491571200).

Almost surely, 2^{2452517295228} is an apocalyptic number.

2452517295228 is a gapful number since it is divisible by the number (28) 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 2452517295228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246786252800).

2452517295228 is an abundant number, since it is smaller than the sum of its proper divisors (6041055210372).

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

2452517295228 is a wasteful number, since it uses less digits than its factorization.

2452517295228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388982 (or 1388963 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 2452517295228 in words is "two trillion, four hundred fifty-two billion, five hundred seventeen million, two hundred ninety-five thousand, two hundred twenty-eight".