2958064704 has 448 divisors, whose sum is σ = 10683443200. Its totient is φ = 783820800.

The previous prime is 2958064691. The next prime is 2958064717. The reversal of 2958064704 is 4074608592.

It is a happy number.

2958064704 is a `hidden beast` number, since 2 + 9 + 580 + 64 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2958064691) and next prime (2958064717).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2958064704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14019159 + ... + 14019369.

Almost surely, 2^2958064704 is an apocalyptic number.

2958064704 is a gapful number since it is divisible by the number (24) 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 2958064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341721600).

2958064704 is an abundant number, since it is smaller than the sum of its proper divisors (7725378496).

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

2958064704 is a wasteful number, since it uses less digits than its factorization.

2958064704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2958064704 is about 54388.0934028763. The cubic root of 2958064704 is about 1435.4978833816.

The spelling of 2958064704 in words is "two billion, nine hundred fifty-eight million, sixty-four thousand, seven hundred four".