2189740800 has 432 divisors, whose sum is σ = 8061928448. Its totient is φ = 519782400.

The previous prime is 2189740799. The next prime is 2189740807. The reversal of 2189740800 is 80479812.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2189740807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7737459 + ... + 7737741.

Almost surely, 2^2189740800 is an apocalyptic number.

2189740800 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 2189740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030964224).

2189740800 is an abundant number, since it is smaller than the sum of its proper divisors (5872187648).

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

2189740800 is a wasteful number, since it uses less digits than its factorization.

2189740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2189740800 is about 46794.6663627384. Note that the first 3 decimals coincide. The cubic root of 2189740800 is about 1298.5666252759.

The spelling of 2189740800 in words is "two billion, one hundred eighty-nine million, seven hundred forty thousand, eight hundred".