2958488064 has 480 divisors, whose sum is σ = 10485995520. Its totient is φ = 815173632.

The previous prime is 2958488063. The next prime is 2958488147. The reversal of 2958488064 is 4608848592.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2958488064.

It is not an unprimeable number, because it can be changed into a prime (2958488063) 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, 37449177 + ... + 37449255.

It is an arithmetic number, because the mean of its divisors is an integer number (21845824).

Almost surely, 2^2958488064 is an apocalyptic number.

2958488064 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 2958488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242997760).

2958488064 is an abundant number, since it is smaller than the sum of its proper divisors (7527507456).

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

2958488064 is an frugal number, since it uses more digits than its factorization.

2958488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2958488064 is about 54391.9852919527. The cubic root of 2958488064 is about 1435.5663632216.

It can be divided in two parts, 29584 and 88064, that multiplied together give a cube (2605285376 = 1376³).

The spelling of 2958488064 in words is "two billion, nine hundred fifty-eight million, four hundred eighty-eight thousand, sixty-four".