2026875810960 has 2880 divisors, whose sum is σ = 10129562666496. Its totient is φ = 365245562880.

The previous prime is 2026875810929. The next prime is 2026875810961. The reversal of 2026875810960 is 690185786202.

It is a super-2 number, since 2×2026875810960² (a number of 25 digits) contains 22 as substring.

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 = 2026875810897 and 2026875810906.

It is not an unprimeable number, because it can be changed into a prime (2026875810961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3638915002 + ... + 3638915558.

Almost surely, 2^{2026875810960} is an apocalyptic number.

2026875810960 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 2026875810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064781333248).

2026875810960 is an abundant number, since it is smaller than the sum of its proper divisors (8102686855536).

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

2026875810960 is a wasteful number, since it uses less digits than its factorization.

2026875810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2026875810960 in words is "two trillion, twenty-six billion, eight hundred seventy-five million, eight hundred ten thousand, nine hundred sixty".