2987296363296 has 2592 divisors, whose sum is σ = 12213169113600. Its totient is φ = 711082229760.

The previous prime is 2987296363291. The next prime is 2987296363297. The reversal of 2987296363296 is 6923636927892.

2987296363296 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 296 + 3 + 6 + 329 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (634894848) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (2987296363291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 96364398801 + ... + 96364398831.

It is an arithmetic number, because the mean of its divisors is an integer number (4711870800).

Almost surely, 2^{2987296363296} 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 2987296363296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106584556800).

2987296363296 is an abundant number, since it is smaller than the sum of its proper divisors (9225872750304).

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

2987296363296 is a wasteful number, since it uses less digits than its factorization.

2987296363296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 2987296363296 in words is "two trillion, nine hundred eighty-seven billion, two hundred ninety-six million, three hundred sixty-three thousand, two hundred ninety-six".