2095679200 has 144 divisors (see below), whose sum is σ = 5349970080. Its totient is φ = 800593920.

The previous prime is 2095679191. The next prime is 2095679249. The reversal of 2095679200 is 29765902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2389162 + ... + 2390038.

It is an arithmetic number, because the mean of its divisors is an integer number (37152570).

Almost surely, 2^2095679200 is an apocalyptic number.

2095679200 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 2095679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674985040).

2095679200 is an abundant number, since it is smaller than the sum of its proper divisors (3254290880).

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

2095679200 is a wasteful number, since it uses less digits than its factorization.

2095679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 2095679200 is about 45778.5888817032. The cubic root of 2095679200 is about 1279.7002879008.

The spelling of 2095679200 in words is "two billion, ninety-five million, six hundred seventy-nine thousand, two hundred".