2958801466880 has 320 divisors, whose sum is σ = 8253912572928. Its totient is φ = 996199464960.

The previous prime is 2958801466861. The next prime is 2958801466891. The reversal of 2958801466880 is 886641088592.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2958801466880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812186339 + ... + 812189981.

Almost surely, 2^{2958801466880} is an apocalyptic number.

2958801466880 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 2958801466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126956286464).

2958801466880 is an abundant number, since it is smaller than the sum of its proper divisors (5295111106048).

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

2958801466880 is an equidigital number, since it uses as much as digits as its factorization.

2958801466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 65.

The spelling of 2958801466880 in words is "two trillion, nine hundred fifty-eight billion, eight hundred one million, four hundred sixty-six thousand, eight hundred eighty".