2095341600 has 288 divisors, whose sum is σ = 7507019520. Its totient is φ = 503424000.

The previous prime is 2095341587. The next prime is 2095341637. The reversal of 2095341600 is 61435902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3669315 + ... + 3669885.

It is an arithmetic number, because the mean of its divisors is an integer number (26066040).

Almost surely, 2^2095341600 is an apocalyptic number.

2095341600 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 2095341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2095341600 is an abundant number, since it is smaller than the sum of its proper divisors (5411677920).

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

2095341600 is a wasteful number, since it uses less digits than its factorization.

2095341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2095341600 is about 45774.9014198829. The cubic root of 2095341600 is about 1279.6315671382.

The spelling of 2095341600 in words is "two billion, ninety-five million, three hundred forty-one thousand, six hundred".