2097109459600 has 135 divisors (see below), whose sum is σ = 5126573597691. Its totient is φ = 824397139200.

The previous prime is 2097109459589. The next prime is 2097109459603. The reversal of 2097109459600 is 69549017902.

The square root of 2097109459600 is 1448140.

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 965966602896 + 1131142856704 = 982836^2 + 1063552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2097109459603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1766730207 + ... + 1766731393.

Almost surely, 2^{2097109459600} is an apocalyptic number.

2097109459600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2097109459600 is the 1448140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097109459600

2097109459600 is an abundant number, since it is smaller than the sum of its proper divisors (3029464138091).

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

2097109459600 is an frugal number, since it uses more digits than its factorization.

2097109459600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 2097109459600 in words is "two trillion, ninety-seven billion, one hundred nine million, four hundred fifty-nine thousand, six hundred".