2095420824960 has 512 divisors, whose sum is σ = 7021099008000. Its totient is φ = 530912378880.

The previous prime is 2095420824949. The next prime is 2095420824971. The reversal of 2095420824960 is 694280245902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2095420824949) and next prime (2095420824971).

It is a congruent number.

It is an unprimeable number.

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, 907500286 + ... + 907502594.

It is an arithmetic number, because the mean of its divisors is an integer number (13713084000).

Almost surely, 2^{2095420824960} is an apocalyptic number.

2095420824960 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 2095420824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510549504000).

2095420824960 is an abundant number, since it is smaller than the sum of its proper divisors (4925678183040).

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

2095420824960 is a wasteful number, since it uses less digits than its factorization.

2095420824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2095420824960 in words is "two trillion, ninety-five billion, four hundred twenty million, eight hundred twenty-four thousand, nine hundred sixty".