2006950121264 has 80 divisors (see below), whose sum is σ = 4258148603904. Its totient is φ = 908772787200.

The previous prime is 2006950121263. The next prime is 2006950121273. The reversal of 2006950121264 is 4621210596002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2006950121261) 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, 99773672 + ... + 99793784.

Almost surely, 2^{2006950121264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006950121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129074301952).

2006950121264 is an abundant number, since it is smaller than the sum of its proper divisors (2251198482640).

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

2006950121264 is a wasteful number, since it uses less digits than its factorization.

2006950121264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22260 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 2006950121264 in words is "two trillion, six billion, nine hundred fifty million, one hundred twenty-one thousand, two hundred sixty-four".