2006439040 has 128 divisors (see below), whose sum is σ = 5167825920. Its totient is φ = 742748160.

The previous prime is 2006438999. The next prime is 2006439047. The reversal of 2006439040 is 409346002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2006439040² = 8051595242472243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2006439047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454122 + ... + 458518.

It is an arithmetic number, because the mean of its divisors is an integer number (40373640).

Almost surely, 2^2006439040 is an apocalyptic number.

2006439040 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 2006439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583912960).

2006439040 is an abundant number, since it is smaller than the sum of its proper divisors (3161386880).

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

2006439040 is a wasteful number, since it uses less digits than its factorization.

2006439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2006439040 is about 44793.2923549944. The cubic root of 2006439040 is about 1261.2717151052.

The spelling of 2006439040 in words is "two billion, six million, four hundred thirty-nine thousand, forty".