2198327040 has 720 divisors, whose sum is σ = 9722801088. Its totient is φ = 461832192.

The previous prime is 2198327029. The next prime is 2198327041. The reversal of 2198327040 is 407238912.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 2198326986 and 2198327004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198327041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434764 + ... + 9434996.

Almost surely, 2^2198327040 is an apocalyptic number.

2198327040 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 2198327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861400544).

2198327040 is an abundant number, since it is smaller than the sum of its proper divisors (7524474048).

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

2198327040 is a wasteful number, since it uses less digits than its factorization.

2198327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2198327040 is about 46886.3203930528. The cubic root of 2198327040 is about 1300.2616909076.

The spelling of 2198327040 in words is "two billion, one hundred ninety-eight million, three hundred twenty-seven thousand, forty".