2006765424 has 60 divisors (see below), whose sum is σ = 5621124600. Its totient is φ = 668330112.

The previous prime is 2006765413. The next prime is 2006765429. The reversal of 2006765424 is 4245676002.

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 (2006765429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175762 + ... + 186830.

It is an arithmetic number, because the mean of its divisors is an integer number (93685410).

Almost surely, 2^2006765424 is an apocalyptic number.

2006765424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006765424 is an abundant number, since it is smaller than the sum of its proper divisors (3614359176).

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

2006765424 is a wasteful number, since it uses less digits than its factorization.

2006765424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2006765424 is about 44796.9354308975. The cubic root of 2006765424 is about 1261.3401010334.

It can be divided in two parts, 20067 and 65424, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 2006765424 in words is "two billion, six million, seven hundred sixty-five thousand, four hundred twenty-four".