2997648240 has 320 divisors, whose sum is σ = 10200537600. Its totient is φ = 725594112.

The previous prime is 2997648239. The next prime is 2997648281. The reversal of 2997648240 is 428467992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18390399 + ... + 18390561.

It is an arithmetic number, because the mean of its divisors is an integer number (31876680).

Almost surely, 2^2997648240 is an apocalyptic number.

2997648240 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 2997648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5100268800).

2997648240 is an abundant number, since it is smaller than the sum of its proper divisors (7202889360).

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

2997648240 is a wasteful number, since it uses less digits than its factorization.

2997648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2997648240 is about 54750.7830080995. The cubic root of 2997648240 is about 1441.8726023583.

The spelling of 2997648240 in words is "two billion, nine hundred ninety-seven million, six hundred forty-eight thousand, two hundred forty".