2026486800 has 720 divisors, whose sum is σ = 8311343040. Its totient is φ = 452874240.

The previous prime is 2026486769. The next prime is 2026486811. The reversal of 2026486800 is 86846202.

2026486800 is a `hidden beast` number, since 2 + 0 + 2 + 648 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38235574 + ... + 38235626.

It is an arithmetic number, because the mean of its divisors is an integer number (11543532).

Almost surely, 2^2026486800 is an apocalyptic number.

2026486800 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 2026486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155671520).

2026486800 is an abundant number, since it is smaller than the sum of its proper divisors (6284856240).

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

2026486800 is a wasteful number, since it uses less digits than its factorization.

2026486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2026486800 is about 45016.5169687749. The cubic root of 2026486800 is about 1265.4585557065.

The spelling of 2026486800 in words is "two billion, twenty-six million, four hundred eighty-six thousand, eight hundred".