2198390769 has 9 divisors (see below), whose sum is σ = 3175656523. Its totient is φ = 1465500072.

The previous prime is 2198390759. The next prime is 2198390771. The reversal of 2198390769 is 9670938912.

The square root of 2198390769 is 46887.

It is a perfect power (a square), and thus also a powerful number.

2198390769 is a `hidden beast` number, since 2 + 198 + 390 + 7 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2196140769 + 2250000 = 46863^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2198390769 - 2⁷ = 2198390641 is a prime.

It is a super-3 number, since 3×2198390769³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2198390759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 132847 + ... + 148475.

Almost surely, 2^2198390769 is an apocalyptic number.

2198390769 is the 46887-th square number.

2198390769 is the 23444-th centered octagonal number.

It is an amenable number.

2198390769 is a deficient number, since it is larger than the sum of its proper divisors (977265754).

2198390769 is an frugal number, since it uses more digits than its factorization.

2198390769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31264 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The cubic root of 2198390769 is about 1300.2742555496.

The spelling of 2198390769 in words is "two billion, one hundred ninety-eight million, three hundred ninety thousand, seven hundred sixty-nine".