2452198320 has 640 divisors, whose sum is σ = 10529326080. Its totient is φ = 515358720.

The previous prime is 2452198319. The next prime is 2452198321. The reversal of 2452198320 is 238912542.

It is a happy number.

2452198320 is a `hidden beast` number, since 24 + 521 + 98 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2452198319) and next prime (2452198321).

It is a super-3 number, since 3×2452198320³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2452198321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250727 + ... + 5251193.

It is an arithmetic number, because the mean of its divisors is an integer number (16452072).

Almost surely, 2^2452198320 is an apocalyptic number.

2452198320 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 2452198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264663040).

2452198320 is an abundant number, since it is smaller than the sum of its proper divisors (8077127760).

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

2452198320 is a wasteful number, since it uses less digits than its factorization.

2452198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2452198320 is about 49519.6760894091. The cubic root of 2452198320 is about 1348.5028340663.

The spelling of 2452198320 in words is "two billion, four hundred fifty-two million, one hundred ninety-eight thousand, three hundred twenty".