2097640000 has 105 divisors (see below), whose sum is σ = 5224278477. Its totient is φ = 835392000.

The previous prime is 2097639983. The next prime is 2097640007. The reversal of 2097640000 is 467902.

The square root of 2097640000 is 45800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 571018816 + 1526621184 = 23896^2 + 39072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2097640007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9159886 + ... + 9160114.

Almost surely, 2^2097640000 is an apocalyptic number.

2097640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2097640000 is the 45800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097640000

2097640000 is an abundant number, since it is smaller than the sum of its proper divisors (3126638477).

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

2097640000 is an frugal number, since it uses more digits than its factorization.

2097640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The cubic root of 2097640000 is about 1280.0992761542.

The spelling of 2097640000 in words is "two billion, ninety-seven million, six hundred forty thousand".