2198454264 has 128 divisors (see below), whose sum is σ = 6391872000. Its totient is φ = 698810112.

The previous prime is 2198454259. The next prime is 2198454277. The reversal of 2198454264 is 4624548912.

It is a happy number.

2198454264 is a `hidden beast` number, since 2 + 198 + 454 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717092 + ... + 2717900.

It is an arithmetic number, because the mean of its divisors is an integer number (49936500).

Almost surely, 2^2198454264 is an apocalyptic number.

2198454264 is a gapful number since it is divisible by the number (24) 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 2198454264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195936000).

2198454264 is an abundant number, since it is smaller than the sum of its proper divisors (4193417736).

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

2198454264 is a wasteful number, since it uses less digits than its factorization.

2198454264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1384 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2198454264 is about 46887.6771017716. The cubic root of 2198454264 is about 1300.2867738153.

The spelling of 2198454264 in words is "two billion, one hundred ninety-eight million, four hundred fifty-four thousand, two hundred sixty-four".