2097731600 has 60 divisors (see below), whose sum is σ = 5062029060. Its totient is φ = 835392000.

The previous prime is 2097731593. The next prime is 2097731627. The reversal of 2097731600 is 61377902.

It is a Cunningham number, because it is equal to 45801²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 388405264 + 1709326336 = 19708^2 + 41344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80150 + ... + 103050.

It is an arithmetic number, because the mean of its divisors is an integer number (84367151).

Almost surely, 2^2097731600 is an apocalyptic number.

2097731600 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 2097731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531014530).

2097731600 is an abundant number, since it is smaller than the sum of its proper divisors (2964297460).

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

2097731600 is a wasteful number, since it uses less digits than its factorization.

2097731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23148 (or 23137 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 2097731600 is about 45800.9999890832. Note that the first 4 decimals coincide. The cubic root of 2097731600 is about 1280.1179090602.

The spelling of 2097731600 in words is "two billion, ninety-seven million, seven hundred thirty-one thousand, six hundred".