2100769200 has 180 divisors, whose sum is σ = 7674200040. Its totient is φ = 530703360.

The previous prime is 2100769129. The next prime is 2100769201. The reversal of 2100769200 is 29670012.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2100769201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53044 + ... + 83756.

Almost surely, 2^2100769200 is an apocalyptic number.

2100769200 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 2100769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837100020).

2100769200 is an abundant number, since it is smaller than the sum of its proper divisors (5573430840).

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

2100769200 is a wasteful number, since it uses less digits than its factorization.

2100769200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30756 (or 30742 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2100769200 is about 45834.1488412297. The cubic root of 2100769200 is about 1280.7354985195.

The spelling of 2100769200 in words is "two billion, one hundred million, seven hundred sixty-nine thousand, two hundred".