2896772364288 has 384 divisors, whose sum is σ = 9379387180800. Its totient is φ = 876087705600.

The previous prime is 2896772364253. The next prime is 2896772364289. The reversal of 2896772364288 is 8824632776982.

2896772364288 is a `hidden beast` number, since 28 + 96 + 7 + 7 + 236 + 4 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896772364289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329062095 + ... + 329070897.

It is an arithmetic number, because the mean of its divisors is an integer number (24425487450).

Almost surely, 2^{2896772364288} 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 2896772364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689693590400).

2896772364288 is an abundant number, since it is smaller than the sum of its proper divisors (6482614816512).

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

2896772364288 is a wasteful number, since it uses less digits than its factorization.

2896772364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9360 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 2896772364288 in words is "two trillion, eight hundred ninety-six billion, seven hundred seventy-two million, three hundred sixty-four thousand, two hundred eighty-eight".