2896564649076 has 288 divisors, whose sum is σ = 9671829672960. Its totient is φ = 737912415744.

The previous prime is 2896564649071. The next prime is 2896564649081. The reversal of 2896564649076 is 6709464656982.

2896564649076 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 5 + 6 + 464 + 90 + 76 = 666.

2896564649076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2896564649071) and next prime (2896564649081).

It is a junction number, because it is equal to n+sod(n) for n = 2896564648995 and 2896564649013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896564649071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1538691 + ... + 2856693.

It is an arithmetic number, because the mean of its divisors is an integer number (33582741920).

Almost surely, 2^{2896564649076} 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 2896564649076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835914836480).

2896564649076 is an abundant number, since it is smaller than the sum of its proper divisors (6775265023884).

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

2896564649076 is a wasteful number, since it uses less digits than its factorization.

2896564649076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318065 (or 1318051 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 2896564649076 in words is "two trillion, eight hundred ninety-six billion, five hundred sixty-four million, six hundred forty-nine thousand, seventy-six".