2328648206976 has 768 divisors, whose sum is σ = 8828978995200. Its totient is φ = 594315325440.

The previous prime is 2328648206959. The next prime is 2328648207029. The reversal of 2328648206976 is 6796028468232.

2328648206976 is a `hidden beast` number, since 2 + 3 + 2 + 86 + 482 + 0 + 6 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87731115 + ... + 87757653.

It is an arithmetic number, because the mean of its divisors is an integer number (11496066400).

Almost surely, 2^{2328648206976} is an apocalyptic number.

2328648206976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328648206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414489497600).

2328648206976 is an abundant number, since it is smaller than the sum of its proper divisors (6500330788224).

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

2328648206976 is a wasteful number, since it uses less digits than its factorization.

2328648206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26619 (or 26595 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 2328648206976 in words is "two trillion, three hundred twenty-eight billion, six hundred forty-eight million, two hundred six thousand, nine hundred seventy-six".