2896424248320 has 704 divisors, whose sum is σ = 11037528806400. Its totient is φ = 717697843200.

The previous prime is 2896424248283. The next prime is 2896424248321. The reversal of 2896424248320 is 238424246982.

2896424248320 is a `hidden beast` number, since 2 + 89 + 6 + 42 + 42 + 483 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2896424248321) 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, 185648520 + ... + 185664120.

Almost surely, 2^{2896424248320} is an apocalyptic number.

2896424248320 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 2896424248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518764403200).

2896424248320 is an abundant number, since it is smaller than the sum of its proper divisors (8141104558080).

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

2896424248320 is a wasteful number, since it uses less digits than its factorization.

2896424248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731 (or 15707 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2896424248320 in words is "two trillion, eight hundred ninety-six billion, four hundred twenty-four million, two hundred forty-eight thousand, three hundred twenty".