2198541600 has 108 divisors (see below), whose sum is σ = 7752632706. Its totient is φ = 586275840.

The previous prime is 2198541581. The next prime is 2198541629. The reversal of 2198541600 is 61458912.

2198541600 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 5 + 41 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1797420816 + 401120784 = 42396^2 + 20028^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 145477 + ... + 159876.

Almost surely, 2^2198541600 is an apocalyptic number.

2198541600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198541600 is an abundant number, since it is smaller than the sum of its proper divisors (5554091106).

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

2198541600 is a wasteful number, since it uses less digits than its factorization.

2198541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305379 (or 305363 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2198541600 is about 46888.6084246483. The cubic root of 2198541600 is about 1300.3039920253.

The spelling of 2198541600 in words is "two billion, one hundred ninety-eight million, five hundred forty-one thousand, six hundred".