2198499840 has 320 divisors, whose sum is σ = 8273041920. Its totient is φ = 551485440.

The previous prime is 2198499803. The next prime is 2198499847. The reversal of 2198499840 is 489948912.

2198499840 is a `hidden beast` number, since 21 + 98 + 499 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198499847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174105 + ... + 1175975.

It is an arithmetic number, because the mean of its divisors is an integer number (25853256).

Almost surely, 2^2198499840 is an apocalyptic number.

2198499840 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 2198499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136520960).

2198499840 is an abundant number, since it is smaller than the sum of its proper divisors (6074542080).

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

2198499840 is a wasteful number, since it uses less digits than its factorization.

2198499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2198499840 is about 46888.1631118132. The cubic root of 2198499840 is about 1300.2957591376.

The spelling of 2198499840 in words is "two billion, one hundred ninety-eight million, four hundred ninety-nine thousand, eight hundred forty".