2912008320 has 640 divisors, whose sum is σ = 11663190000. Its totient is φ = 687439872.

The previous prime is 2912008303. The next prime is 2912008321. The reversal of 2912008320 is 238002192.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 276623424 + 2635384896 = 16632^2 + 51336^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2912008321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543606 + ... + 19543754.

Almost surely, 2^2912008320 is an apocalyptic number.

2912008320 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 2912008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831595000).

2912008320 is an abundant number, since it is smaller than the sum of its proper divisors (8751181680).

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

2912008320 is a wasteful number, since it uses less digits than its factorization.

2912008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2912008320 is about 53963.0273428020. The cubic root of 2912008320 is about 1428.0087563901.

The spelling of 2912008320 in words is "two billion, nine hundred twelve million, eight thousand, three hundred twenty".