2095613761920 has 512 divisors, whose sum is σ = 8185469644800. Its totient is φ = 445110681600.

The previous prime is 2095613761889. The next prime is 2095613761921. The reversal of 2095613761920 is 291673165902.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095613761921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17991870 + ... + 18107970.

It is an arithmetic number, because the mean of its divisors is an integer number (15987245400).

Almost surely, 2^{2095613761920} is an apocalyptic number.

2095613761920 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 2095613761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092734822400).

2095613761920 is an abundant number, since it is smaller than the sum of its proper divisors (6089855882880).

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

2095613761920 is a wasteful number, since it uses less digits than its factorization.

2095613761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116226 (or 116214 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 2095613761920 in words is "two trillion, ninety-five billion, six hundred thirteen million, seven hundred sixty-one thousand, nine hundred twenty".