2198102760000 has 945 divisors, whose sum is σ = 9184476465021. Its totient is φ = 501000192000.

The previous prime is 2198102759981. The next prime is 2198102760067. The reversal of 2198102760000 is 672018912.

The square root of 2198102760000 is 1482600.

It is a perfect power (a square), and thus also a powerful number.

2198102760000 is a `hidden beast` number, since 2 + 19 + 8 + 10 + 27 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1853148580416 + 344954179584 = 1361304^2 + 587328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6226919824 + ... + 6226920176.

Almost surely, 2^{2198102760000} is an apocalyptic number.

2198102760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2198102760000 is the 1482600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198102760000

2198102760000 is an abundant number, since it is smaller than the sum of its proper divisors (6986373705021).

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

2198102760000 is an frugal number, since it uses more digits than its factorization.

2198102760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 2198102760000 by its sum of digits (36), we get a square (79131699360000 = 8895600²).

2198102760000 divided by its sum of digits (36) gives a square (61058410000 = 247100²).

Adding to 2198102760000 its reverse (672018912), we get a palindrome (2198774778912).

The spelling of 2198102760000 in words is "two trillion, one hundred ninety-eight billion, one hundred two million, seven hundred sixty thousand".