2896067864952 has 256 divisors, whose sum is σ = 8357559091200. Its totient is φ = 928601210880.

The previous prime is 2896067864939. The next prime is 2896067864959. The reversal of 2896067864952 is 2594687606982.

It is a happy number.

2896067864952 is a `hidden beast` number, since 2 + 8 + 9 + 60 + 6 + 78 + 6 + 495 + 2 = 666.

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 (2896067864959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161592952 + ... + 161610872.

It is an arithmetic number, because the mean of its divisors is an integer number (32646715200).

Almost surely, 2^{2896067864952} 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 2896067864952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178779545600).

2896067864952 is an abundant number, since it is smaller than the sum of its proper divisors (5461491226248).

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

2896067864952 is a wasteful number, since it uses less digits than its factorization.

2896067864952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 2896067864952 in words is "two trillion, eight hundred ninety-six billion, sixty-seven million, eight hundred sixty-four thousand, nine hundred fifty-two".