2906686272 has 448 divisors, whose sum is σ = 9948672000. Its totient is φ = 745113600.

The previous prime is 2906686247. The next prime is 2906686273. The reversal of 2906686272 is 2726866092.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906686273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28779022 + ... + 28779122.

Almost surely, 2^2906686272 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 2906686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974336000).

2906686272 is an abundant number, since it is smaller than the sum of its proper divisors (7041985728).

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

2906686272 is a wasteful number, since it uses less digits than its factorization.

2906686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2906686272 is about 53913.6928061879. The cubic root of 2906686272 is about 1427.1382728671.

The spelling of 2906686272 in words is "two billion, nine hundred six million, six hundred eighty-six thousand, two hundred seventy-two".