2006400249 has 48 divisors (see below), whose sum is σ = 3416624640. Its totient is φ = 1110844800.

The previous prime is 2006400161. The next prime is 2006400287. The reversal of 2006400249 is 9420046002.

It is not a de Polignac number, because 2006400249 - 2¹¹ = 2006398201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2006400049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295707 + ... + 302415.

It is an arithmetic number, because the mean of its divisors is an integer number (71179680).

Almost surely, 2^2006400249 is an apocalyptic number.

It is an amenable number.

2006400249 is a deficient number, since it is larger than the sum of its proper divisors (1410224391).

2006400249 is a wasteful number, since it uses less digits than its factorization.

2006400249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2006400249 is about 44792.8593528031. The cubic root of 2006400249 is about 1261.2635868898.

The spelling of 2006400249 in words is "two billion, six million, four hundred thousand, two hundred forty-nine".