2958466896 has 640 divisors, whose sum is σ = 11580211200. Its totient is φ = 699840000.

The previous prime is 2958466891. The next prime is 2958466897. The reversal of 2958466896 is 6986648592.

2958466896 is a `hidden beast` number, since 2 + 95 + 8 + 466 + 89 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958466891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19592421 + ... + 19592571.

It is an arithmetic number, because the mean of its divisors is an integer number (18094080).

Almost surely, 2^2958466896 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 2958466896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790105600).

2958466896 is an abundant number, since it is smaller than the sum of its proper divisors (8621744304).

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

2958466896 is a wasteful number, since it uses less digits than its factorization.

2958466896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 2958466896 is about 54391.7907041127. The cubic root of 2958466896 is about 1435.5629393848.

The spelling of 2958466896 in words is "two billion, nine hundred fifty-eight million, four hundred sixty-six thousand, eight hundred ninety-six".