2026798864200 has 960 divisors, whose sum is σ = 8150935003200. Its totient is φ = 461312409600.

The previous prime is 2026798864177. The next prime is 2026798864241. The reversal of 2026798864200 is 24688976202.

2026798864200 is a `hidden beast` number, since 202 + 6 + 7 + 9 + 8 + 8 + 6 + 420 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2450784187 + ... + 2450785013.

It is an arithmetic number, because the mean of its divisors is an integer number (8490557295).

Almost surely, 2^{2026798864200} is an apocalyptic number.

2026798864200 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 2026798864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075467501600).

2026798864200 is an abundant number, since it is smaller than the sum of its proper divisors (6124136139000).

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

2026798864200 is a wasteful number, since it uses less digits than its factorization.

2026798864200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2026798864200 in words is "two trillion, twenty-six billion, seven hundred ninety-eight million, eight hundred sixty-four thousand, two hundred".