2198058720 has 384 divisors, whose sum is σ = 8404881408. Its totient is φ = 475545600.

The previous prime is 2198058697. The next prime is 2198058727. The reversal of 2198058720 is 278508912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198058727) 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 63 ways as a sum of consecutive naturals, for example, 2127324 + ... + 2128356.

It is an arithmetic number, because the mean of its divisors is an integer number (21887712).

Almost surely, 2^2198058720 is an apocalyptic number.

2198058720 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 2198058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4202440704).

2198058720 is an abundant number, since it is smaller than the sum of its proper divisors (6206822688).

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

2198058720 is a wasteful number, since it uses less digits than its factorization.

2198058720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 2198058720 is about 46883.4589167651. The cubic root of 2198058720 is about 1300.2087869787.

The spelling of 2198058720 in words is "two billion, one hundred ninety-eight million, fifty-eight thousand, seven hundred twenty".