2198901344640 has 3072 divisors, whose sum is σ = 10404123770880. Its totient is φ = 381852057600.

The previous prime is 2198901344621. The next prime is 2198901344641. The reversal of 2198901344640 is 464431098912.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198901344641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13167073837 + ... + 13167074003.

It is an arithmetic number, because the mean of its divisors is an integer number (3386759040).

Almost surely, 2^{2198901344640} is an apocalyptic number.

2198901344640 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 2198901344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202061885440).

2198901344640 is an abundant number, since it is smaller than the sum of its proper divisors (8205222426240).

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

2198901344640 is a wasteful number, since it uses less digits than its factorization.

2198901344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 2198901344640 in words is "two trillion, one hundred ninety-eight billion, nine hundred one million, three hundred forty-four thousand, six hundred forty".