2328958656 has 336 divisors, whose sum is σ = 7668670464. Its totient is φ = 697061376.

The previous prime is 2328958603. The next prime is 2328958657. The reversal of 2328958656 is 6568598232.

2328958656 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 9 + 586 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6220800) is a multiple of the sum of its prime factors (450).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328958657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080641 + ... + 6081023.

It is an arithmetic number, because the mean of its divisors is an integer number (22823424).

Almost surely, 2^2328958656 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 2328958656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834335232).

2328958656 is an abundant number, since it is smaller than the sum of its proper divisors (5339711808).

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

2328958656 is a wasteful number, since it uses less digits than its factorization.

2328958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2328958656 is about 48259.2856971588. The cubic root of 2328958656 is about 1325.5229749488.

The spelling of 2328958656 in words is "two billion, three hundred twenty-eight million, nine hundred fifty-eight thousand, six hundred fifty-six".