2097833592100 has 27 divisors (see below), whose sum is σ = 4552330325137. Its totient is φ = 839127643280.

The previous prime is 2097833592073. The next prime is 2097833592157. The reversal of 2097833592100 is 12953387902.

The square root of 2097833592100 is 1448390.

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

It can be written as a sum of positive squares in only one way, i.e., 755220093156 + 1342613498944 = 869034^2 + 1158712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14411481 + ... + 14556319.

Almost surely, 2^{2097833592100} is an apocalyptic number.

2097833592100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2097833592100 is the 1448390-th square number.

It is an amenable number.

2097833592100 is an abundant number, since it is smaller than the sum of its proper divisors (2454496733037).

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

2097833592100 is an frugal number, since it uses more digits than its factorization.

2097833592100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289692 (or 144846 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 2097833592100 by its sum of digits (49), we get a square (102793846012900 = 10138730²).

The spelling of 2097833592100 in words is "two trillion, ninety-seven billion, eight hundred thirty-three million, five hundred ninety-two thousand, one hundred".