2896395534400 has 189 divisors, whose sum is σ = 7199191865367. Its totient is φ = 1146930969600.

The previous prime is 2896395534397. The next prime is 2896395534463. The reversal of 2896395534400 is 44355936982.

The square root of 2896395534400 is 1701880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 350302994496 + 2546092539904 = 591864^2 + 1595648^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10687806265 + ... + 10687806535.

Almost surely, 2^{2896395534400} is an apocalyptic number.

2896395534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2896395534400 is the 1701880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2896395534400

2896395534400 is an abundant number, since it is smaller than the sum of its proper divisors (4302796330967).

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

2896395534400 is an frugal number, since it uses more digits than its factorization.

2896395534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 2896395534400 in words is "two trillion, eight hundred ninety-six billion, three hundred ninety-five million, five hundred thirty-four thousand, four hundred".