2901064320 has 768 divisors, whose sum is σ = 12953640960. Its totient is φ = 580608000.

The previous prime is 2901064259. The next prime is 2901064349. The reversal of 2901064320 is 234601092.

2901064320 is a `hidden beast` number, since 2 + 9 + 0 + 10 + 643 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13749015 + ... + 13749225.

It is an arithmetic number, because the mean of its divisors is an integer number (16866720).

Almost surely, 2^2901064320 is an apocalyptic number.

2901064320 is a gapful number since it is divisible by the number (20) 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 2901064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476820480).

2901064320 is an abundant number, since it is smaller than the sum of its proper divisors (10052576640).

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

2901064320 is a wasteful number, since it uses less digits than its factorization.

2901064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2901064320 is about 53861.5291279407. The cubic root of 2901064320 is about 1426.2175816945.

The spelling of 2901064320 in words is "two billion, nine hundred one million, sixty-four thousand, three hundred twenty".