2198536461 has 48 divisors (see below), whose sum is σ = 3585853440. Its totient is φ = 1285956000.

The previous prime is 2198536447. The next prime is 2198536511. The reversal of 2198536461 is 1646358912.

2198536461 is a `hidden beast` number, since 21 + 98 + 536 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 2198536461 - 2¹⁵ = 2198503693 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198532461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506150 + ... + 1507608.

It is an arithmetic number, because the mean of its divisors is an integer number (74705280).

Almost surely, 2^2198536461 is an apocalyptic number.

It is an amenable number.

2198536461 is a deficient number, since it is larger than the sum of its proper divisors (1387316979).

2198536461 is a wasteful number, since it uses less digits than its factorization.

2198536461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1995 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2198536461 is about 46888.5536245255. The cubic root of 2198536461 is about 1300.3029788890.

The spelling of 2198536461 in words is "two billion, one hundred ninety-eight million, five hundred thirty-six thousand, four hundred sixty-one".