2958274068480 has 792 divisors, whose sum is σ = 10896899857272. Its totient is φ = 770527199232.

The previous prime is 2958274068469. The next prime is 2958274068551. The reversal of 2958274068480 is 848604728592.

2958274068480 is a `hidden beast` number, since 2 + 9 + 5 + 82 + 74 + 0 + 6 + 8 + 480 = 666.

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 35 ways as a sum of consecutive naturals, for example, 68797071339 + ... + 68797071381.

It is an arithmetic number, because the mean of its divisors is an integer number (13758711941).

Almost surely, 2^{2958274068480} is an apocalyptic number.

2958274068480 is a gapful number since it is divisible by the number (20) 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 2958274068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448449928636).

2958274068480 is an abundant number, since it is smaller than the sum of its proper divisors (7938625788792).

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

2958274068480 is an frugal number, since it uses more digits than its factorization.

2958274068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2958274068480 in words is "two trillion, nine hundred fifty-eight billion, two hundred seventy-four million, sixty-eight thousand, four hundred eighty".