2095924209120 has 960 divisors, whose sum is σ = 9422057272320. Its totient is φ = 427150983168.

The previous prime is 2095924209109. The next prime is 2095924209131. The reversal of 2095924209120 is 219024295902.

It is a happy number.

2095924209120 is a `hidden beast` number, since 2 + 0 + 9 + 592 + 42 + 0 + 9 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2095924209109) and next prime (2095924209131).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29266797 + ... + 29338323.

It is an arithmetic number, because the mean of its divisors is an integer number (9814642992).

Almost surely, 2^{2095924209120} is an apocalyptic number.

2095924209120 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 2095924209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711028636160).

2095924209120 is an abundant number, since it is smaller than the sum of its proper divisors (7326133063200).

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

2095924209120 is a wasteful number, since it uses less digits than its factorization.

2095924209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71597 (or 71580 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2095924209120 in words is "two trillion, ninety-five billion, nine hundred twenty-four million, two hundred nine thousand, one hundred twenty".