2198290752 has 392 divisors, whose sum is σ = 7675693056. Its totient is φ = 611380224.

The previous prime is 2198290751. The next prime is 2198290753. The reversal of 2198290752 is 2570928912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2198290751) and next prime (2198290753).

It is a junction number, because it is equal to n+sod(n) for n = 2198290698 and 2198290707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198290751) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17309313 + ... + 17309439.

Almost surely, 2^2198290752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837846528).

2198290752 is an abundant number, since it is smaller than the sum of its proper divisors (5477402304).

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

2198290752 is an equidigital number, since it uses as much as digits as its factorization.

2198290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2198290752 is about 46885.9334129118. The cubic root of 2198290752 is about 1300.2545363525.

The spelling of 2198290752 in words is "two billion, one hundred ninety-eight million, two hundred ninety thousand, seven hundred fifty-two".