2880607296 has 448 divisors, whose sum is σ = 9831628800. Its totient is φ = 740597760.

The previous prime is 2880607277. The next prime is 2880607297. The reversal of 2880607296 is 6927060882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880607297) 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 63 ways as a sum of consecutive naturals, for example, 34706071 + ... + 34706153.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^2880607296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2880607296 is an abundant number, since it is smaller than the sum of its proper divisors (6951021504).

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

2880607296 is a wasteful number, since it uses less digits than its factorization.

2880607296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2880607296 is about 53671.2893081580. The cubic root of 2880607296 is about 1422.8573187990.

The spelling of 2880607296 in words is "two billion, eight hundred eighty million, six hundred seven thousand, two hundred ninety-six".