2949021017664 has 112 divisors (see below), whose sum is σ = 7838092739328. Its totient is φ = 978542788608.

The previous prime is 2949021017609. The next prime is 2949021017687. The reversal of 2949021017664 is 4667101209492.

2949021017664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78783657 + ... + 78821079.

Almost surely, 2^{2949021017664} is an apocalyptic number.

2949021017664 is a gapful number since it is divisible by the number (24) 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 2949021017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919046369664).

2949021017664 is an abundant number, since it is smaller than the sum of its proper divisors (4889071721664).

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

2949021017664 is a wasteful number, since it uses less digits than its factorization.

2949021017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39292 (or 39282 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 2949021017664 in words is "two trillion, nine hundred forty-nine billion, twenty-one million, seventeen thousand, six hundred sixty-four".