2107891200 has 240 divisors, whose sum is σ = 7375175280. Its totient is φ = 528875520.

The previous prime is 2107891199. The next prime is 2107891211. The reversal of 2107891200 is 21987012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2107891200² = 8886410622074880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651186 + ... + 654414.

It is an arithmetic number, because the mean of its divisors is an integer number (30729897).

Almost surely, 2^2107891200 is an apocalyptic number.

2107891200 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 2107891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687587640).

2107891200 is an abundant number, since it is smaller than the sum of its proper divisors (5267284080).

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

2107891200 is a wasteful number, since it uses less digits than its factorization.

2107891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3256 counting only the distinct ones).

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

The square root of 2107891200 is about 45911.7762670973. The cubic root of 2107891200 is about 1282.1811768997.

The spelling of 2107891200 in words is "two billion, one hundred seven million, eight hundred ninety-one thousand, two hundred".