2198474795520 has 480 divisors, whose sum is σ = 7740503147520. Its totient is φ = 576573603840.

The previous prime is 2198474795509. The next prime is 2198474795563. The reversal of 2198474795520 is 255974748912.

2198474795520 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 4 + 7 + 4 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493261132 + ... + 493265588.

It is an arithmetic number, because the mean of its divisors is an integer number (16126048224).

Almost surely, 2^{2198474795520} is an apocalyptic number.

2198474795520 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 2198474795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870251573760).

2198474795520 is an abundant number, since it is smaller than the sum of its proper divisors (5542028352000).

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

2198474795520 is a wasteful number, since it uses less digits than its factorization.

2198474795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4836 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 2198474795520 in words is "two trillion, one hundred ninety-eight billion, four hundred seventy-four million, seven hundred ninety-five thousand, five hundred twenty".