2030095872 has 480 divisors, whose sum is σ = 7267883040. Its totient is φ = 564350976.

The previous prime is 2030095871. The next prime is 2030095891. The reversal of 2030095872 is 2785900302.

It is a happy number.

It is a super-2 number, since 2×2030095872² = 8242578499022880768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030095871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54867438 + ... + 54867474.

It is an arithmetic number, because the mean of its divisors is an integer number (15141423).

Almost surely, 2^2030095872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633941520).

2030095872 is an abundant number, since it is smaller than the sum of its proper divisors (5237787168).

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

2030095872 is an frugal number, since it uses more digits than its factorization.

2030095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2030095872 is about 45056.5852234721. The cubic root of 2030095872 is about 1266.2093497149.

The spelling of 2030095872 in words is "two billion, thirty million, ninety-five thousand, eight hundred seventy-two".