2096858050560 has 1248 divisors, whose sum is σ = 9340279865280. Its totient is φ = 442339688448.

The previous prime is 2096858050559. The next prime is 2096858050561. The reversal of 2096858050560 is 650508586902.

2096858050560 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 8 + 580 + 5 + 0 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2096858050559) and next prime (2096858050561).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2096858050497 and 2096858050506.

It is not an unprimeable number, because it can be changed into a prime (2096858050561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352232544 + ... + 352238496.

It is an arithmetic number, because the mean of its divisors is an integer number (7484198610).

Almost surely, 2^{2096858050560} is an apocalyptic number.

2096858050560 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 2096858050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670139932640).

2096858050560 is an abundant number, since it is smaller than the sum of its proper divisors (7243421814720).

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

2096858050560 is a wasteful number, since it uses less digits than its factorization.

2096858050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 2096858050560 in words is "two trillion, ninety-six billion, eight hundred fifty-eight million, fifty thousand, five hundred sixty".