2026629778800 has 480 divisors, whose sum is σ = 7893434430720. Its totient is φ = 438065971200.

The previous prime is 2026629778793. The next prime is 2026629778829. The reversal of 2026629778800 is 88779266202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025934 + ... + 4501266.

It is an arithmetic number, because the mean of its divisors is an integer number (16444655064).

Almost surely, 2^{2026629778800} is an apocalyptic number.

2026629778800 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 2026629778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946717215360).

2026629778800 is an abundant number, since it is smaller than the sum of its proper divisors (5866804651920).

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

2026629778800 is a wasteful number, since it uses less digits than its factorization.

2026629778800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475401 (or 475390 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 2026629778800 in words is "two trillion, twenty-six billion, six hundred twenty-nine million, seven hundred seventy-eight thousand, eight hundred".