2091728100 has 576 divisors, whose sum is σ = 8191475712. Its totient is φ = 399168000.

The previous prime is 2091728087. The next prime is 2091728101. The reversal of 2091728100 is 18271902.

It is a super-2 number, since 2×2091728100² = 8750652888659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2091728101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16470237 + ... + 16470363.

It is an arithmetic number, because the mean of its divisors is an integer number (14221312).

Almost surely, 2^2091728100 is an apocalyptic number.

2091728100 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 2091728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095737856).

2091728100 is an abundant number, since it is smaller than the sum of its proper divisors (6099747612).

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

2091728100 is a wasteful number, since it uses less digits than its factorization.

2091728100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 2091728100 is about 45735.4140683125. The cubic root of 2091728100 is about 1278.8955520212.

The spelling of 2091728100 in words is "two billion, ninety-one million, seven hundred twenty-eight thousand, one hundred".