2101881600 has 648 divisors, whose sum is σ = 9271927392. Its totient is φ = 442368000.

The previous prime is 2101881599. The next prime is 2101881629. The reversal of 2101881600 is 61881012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241400 + ... + 5241800.

Almost surely, 2^2101881600 is an apocalyptic number.

2101881600 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 2101881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635963696).

2101881600 is an abundant number, since it is smaller than the sum of its proper divisors (7170045792).

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

2101881600 is a wasteful number, since it uses less digits than its factorization.

2101881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2101881600 is about 45846.2822920245. The cubic root of 2101881600 is about 1280.9615171250.

The spelling of 2101881600 in words is "two billion, one hundred one million, eight hundred eighty-one thousand, six hundred".