2078989096900 has 81 divisors (see below), whose sum is σ = 4716835026631. Its totient is φ = 795312422080.

The previous prime is 2078989096861. The next prime is 2078989096901. The reversal of 2078989096900 is 96909898702.

The square root of 2078989096900 is 1441870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 217008768964 + 1861980327936 = 465842^2 + 1364544^2 .

It is a super-2 number, since 2×2078989096900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2078989096901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331626966 + ... + 331633234.

Almost surely, 2^{2078989096900} is an apocalyptic number.

2078989096900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2078989096900 is the 1441870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078989096900

2078989096900 is an abundant number, since it is smaller than the sum of its proper divisors (2637845929731).

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

2078989096900 is an frugal number, since it uses more digits than its factorization.

2078989096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12598 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 67.

The spelling of 2078989096900 in words is "two trillion, seventy-eight billion, nine hundred eighty-nine million, ninety-six thousand, nine hundred".