2914648320 has 288 divisors, whose sum is σ = 9890866944. Its totient is φ = 729907200.

The previous prime is 2914648313. The next prime is 2914648411. The reversal of 2914648320 is 238464192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5387250 + ... + 5387790.

It is an arithmetic number, because the mean of its divisors is an integer number (34343288).

Almost surely, 2^2914648320 is an apocalyptic number.

2914648320 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 2914648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945433472).

2914648320 is an abundant number, since it is smaller than the sum of its proper divisors (6976218624).

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

2914648320 is a wasteful number, since it uses less digits than its factorization.

2914648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2914648320 is about 53987.4829937459. The cubic root of 2914648320 is about 1428.4401659204.

The spelling of 2914648320 in words is "two billion, nine hundred fourteen million, six hundred forty-eight thousand, three hundred twenty".