2906716032 has 384 divisors, whose sum is σ = 9829797120. Its totient is φ = 814694400.

The previous prime is 2906716009. The next prime is 2906716037. The reversal of 2906716032 is 2306176092.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2906716037) 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, 22188607 + ... + 22188737.

It is an arithmetic number, because the mean of its divisors is an integer number (25598430).

Almost surely, 2^2906716032 is an apocalyptic number.

2906716032 is a gapful number since it is divisible by the number (22) 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 2906716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914898560).

2906716032 is an abundant number, since it is smaller than the sum of its proper divisors (6923081088).

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

2906716032 is a wasteful number, since it uses less digits than its factorization.

2906716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2906716032 is about 53913.9688021574. The cubic root of 2906716032 is about 1427.1431434179.

The spelling of 2906716032 in words is "two billion, nine hundred six million, seven hundred sixteen thousand, thirty-two".