2896612320 has 576 divisors, whose sum is σ = 11734571520. Its totient is φ = 586579968.

The previous prime is 2896612319. The next prime is 2896612343. The reversal of 2896612320 is 232166982.

It is a happy number.

2896612320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18449682 + ... + 18449838.

It is an arithmetic number, because the mean of its divisors is an integer number (20372520).

Almost surely, 2^2896612320 is an apocalyptic number.

2896612320 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 2896612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867285760).

2896612320 is an abundant number, since it is smaller than the sum of its proper divisors (8837959200).

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

2896612320 is a wasteful number, since it uses less digits than its factorization.

2896612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2896612320 is about 53820.1850609973. The cubic root of 2896612320 is about 1425.4876459703.

The spelling of 2896612320 in words is "two billion, eight hundred ninety-six million, six hundred twelve thousand, three hundred twenty".