2198742174720 has 3520 divisors, whose sum is σ = 10486076832000. Its totient is φ = 436988805120.

The previous prime is 2198742174719. The next prime is 2198742174743. The reversal of 2198742174720 is 274712478912.

It is a happy number.

2198742174720 is a `hidden beast` number, since 2 + 1 + 9 + 87 + 421 + 74 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53627857900 + ... + 53627857940.

It is an arithmetic number, because the mean of its divisors is an integer number (2978999100).

Almost surely, 2^{2198742174720} is an apocalyptic number.

2198742174720 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 2198742174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243038416000).

2198742174720 is an abundant number, since it is smaller than the sum of its proper divisors (8287334657280).

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

2198742174720 is a wasteful number, since it uses less digits than its factorization.

2198742174720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 2198742174720 in words is "two trillion, one hundred ninety-eight billion, seven hundred forty-two million, one hundred seventy-four thousand, seven hundred twenty".