2101360800 has 576 divisors, whose sum is σ = 8693443584. Its totient is φ = 428236800.

The previous prime is 2101360777. The next prime is 2101360817. The reversal of 2101360800 is 80631012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15338332 + ... + 15338468.

It is an arithmetic number, because the mean of its divisors is an integer number (15092784).

Almost surely, 2^2101360800 is an apocalyptic number.

2101360800 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 2101360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346721792).

2101360800 is an abundant number, since it is smaller than the sum of its proper divisors (6592082784).

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

2101360800 is a wasteful number, since it uses less digits than its factorization.

2101360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2101360800 is about 45840.6020902867. The cubic root of 2101360800 is about 1280.8557103619.

Adding to 2101360800 its reverse (80631012), we get a palindrome (2181991812).

The spelling of 2101360800 in words is "two billion, one hundred one million, three hundred sixty thousand, eight hundred".