2606551920 has 640 divisors, whose sum is σ = 10879303680. Its totient is φ = 561116160.

The previous prime is 2606551907. The next prime is 2606551921. The reversal of 2606551920 is 291556062.

2606551920 is a `hidden beast` number, since 2 + 60 + 65 + 519 + 20 = 666.

It is a super-2 number, since 2×2606551920² = 13588225823311372800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606551921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31404199 + ... + 31404281.

It is an arithmetic number, because the mean of its divisors is an integer number (16998912).

Almost surely, 2^2606551920 is an apocalyptic number.

2606551920 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 2606551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439651840).

2606551920 is an abundant number, since it is smaller than the sum of its proper divisors (8272751760).

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

2606551920 is a wasteful number, since it uses less digits than its factorization.

2606551920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2606551920 is about 51054.4015732238. The cubic root of 2606551920 is about 1376.2229419503. Note that the first 3 decimals are identical.

The spelling of 2606551920 in words is "two billion, six hundred six million, five hundred fifty-one thousand, nine hundred twenty".