2097765600 has 576 divisors, whose sum is σ = 8369464320. Its totient is φ = 446054400.

The previous prime is 2097765589. The next prime is 2097765601. The reversal of 2097765600 is 65677902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097765601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23570356 + ... + 23570444.

It is an arithmetic number, because the mean of its divisors is an integer number (14530320).

Almost surely, 2^2097765600 is an apocalyptic number.

2097765600 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 2097765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184732160).

2097765600 is an abundant number, since it is smaller than the sum of its proper divisors (6271698720).

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

2097765600 is a wasteful number, since it uses less digits than its factorization.

2097765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 2097765600 is about 45801.3711585145. The cubic root of 2097765600 is about 1280.1248250663.

The spelling of 2097765600 in words is "two billion, ninety-seven million, seven hundred sixty-five thousand, six hundred".