2026480680 has 320 divisors, whose sum is σ = 7840800000. Its totient is φ = 459841536.

The previous prime is 2026480667. The next prime is 2026480691. The reversal of 2026480680 is 860846202.

2026480680 is a `hidden beast` number, since 2 + 0 + 2 + 648 + 0 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4513096 + ... + 4513544.

It is an arithmetic number, because the mean of its divisors is an integer number (24502500).

Almost surely, 2^2026480680 is an apocalyptic number.

2026480680 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 2026480680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920400000).

2026480680 is an abundant number, since it is smaller than the sum of its proper divisors (5814319320).

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

2026480680 is a wasteful number, since it uses less digits than its factorization.

2026480680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

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

The square root of 2026480680 is about 45016.4489936734. The cubic root of 2026480680 is about 1265.4572818082.

The spelling of 2026480680 in words is "two billion, twenty-six million, four hundred eighty thousand, six hundred eighty".