2736006 has 32 divisors (see below), whose sum is σ = 6736128. Its totient is φ = 721440.

The previous prime is 2735983. The next prime is 2736043. The reversal of 2736006 is 6006372.

2736006 = T₄₂₈ + T₄₂₉ + ... + T₄₅₅.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1960 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (210504).

2^2736006 is an apocalyptic number.

2736006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2736006 is an abundant number, since it is smaller than the sum of its proper divisors (4000122).

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

2736006 is a wasteful number, since it uses less digits than its factorization.

2736006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 2736006 is about 1654.0876639405. The cubic root of 2736006 is about 139.8639153832.

The spelling of 2736006 in words is "two million, seven hundred thirty-six thousand, six".