2006139240 has 384 divisors, whose sum is σ = 7709644800. Its totient is φ = 442990080.

The previous prime is 2006139229. The next prime is 2006139271. The reversal of 2006139240 is 429316002.

2006139240 is a `hidden beast` number, since 2 + 0 + 0 + 613 + 9 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15313975 + ... + 15314105.

It is an arithmetic number, because the mean of its divisors is an integer number (20077200).

Almost surely, 2^2006139240 is an apocalyptic number.

2006139240 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 2006139240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854822400).

2006139240 is an abundant number, since it is smaller than the sum of its proper divisors (5703505560).

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

2006139240 is a wasteful number, since it uses less digits than its factorization.

2006139240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2006139240 is about 44789.9457467856. The cubic root of 2006139240 is about 1261.2088926808.

It can be divided in two parts, 2006 and 139240, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 2006139240 in words is "two billion, six million, one hundred thirty-nine thousand, two hundred forty".