2198649600 has 972 divisors, whose sum is σ = 9860072040. Its totient is φ = 464486400.

The previous prime is 2198649533. The next prime is 2198649601. The reversal of 2198649600 is 69468912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2198649601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53625580 + ... + 53625620.

Almost surely, 2^2198649600 is an apocalyptic number.

2198649600 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 2198649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930036020).

2198649600 is an abundant number, since it is smaller than the sum of its proper divisors (7661422440).

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

2198649600 is a wasteful number, since it uses less digits than its factorization.

2198649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2198649600 is about 46889.7600761616. The cubic root of 2198649600 is about 1300.3252834929.

The spelling of 2198649600 in words is "two billion, one hundred ninety-eight million, six hundred forty-nine thousand, six hundred".