2958520412160 has 1536 divisors, whose sum is σ = 11895024960000. Its totient is φ = 701730127872.

The previous prime is 2958520412093. The next prime is 2958520412161. The reversal of 2958520412160 is 612140258592.

2958520412160 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 520 + 41 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2958520412161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7233546036 + ... + 7233546444.

It is an arithmetic number, because the mean of its divisors is an integer number (7744156875).

Almost surely, 2^{2958520412160} is an apocalyptic number.

2958520412160 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 2958520412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947512480000).

2958520412160 is an abundant number, since it is smaller than the sum of its proper divisors (8936504547840).

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

2958520412160 is an equidigital number, since it uses as much as digits as its factorization.

2958520412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2958520412160 in words is "two trillion, nine hundred fifty-eight billion, five hundred twenty million, four hundred twelve thousand, one hundred sixty".