2193744198240 has 1536 divisors, whose sum is σ = 9574225920000. Its totient is φ = 467543881728.

The previous prime is 2193744198211. The next prime is 2193744198257. The reversal of 2193744198240 is 428914473912.

2193744198240 is a `hidden beast` number, since 2 + 1 + 93 + 7 + 441 + 98 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1886279899 + ... + 1886281061.

It is an arithmetic number, because the mean of its divisors is an integer number (6233220000).

Almost surely, 2^{2193744198240} is an apocalyptic number.

2193744198240 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 2193744198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787112960000).

2193744198240 is an abundant number, since it is smaller than the sum of its proper divisors (7380481721760).

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

2193744198240 is a wasteful number, since it uses less digits than its factorization.

2193744198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2193744198240 in words is "two trillion, one hundred ninety-three billion, seven hundred forty-four million, one hundred ninety-eight thousand, two hundred forty".