2133456241280 has 1024 divisors, whose sum is σ = 6646914570240. Its totient is φ = 637009920000.

The previous prime is 2133456241271. The next prime is 2133456241307. The reversal of 2133456241280 is 821426543312.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14128849205 + ... + 14128849355.

It is an arithmetic number, because the mean of its divisors is an integer number (6491127510).

Almost surely, 2^{2133456241280} is an apocalyptic number.

2133456241280 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 2133456241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323457285120).

2133456241280 is an abundant number, since it is smaller than the sum of its proper divisors (4513458328960).

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

2133456241280 is a wasteful number, since it uses less digits than its factorization.

2133456241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 2133456241280 in words is "two trillion, one hundred thirty-three billion, four hundred fifty-six million, two hundred forty-one thousand, two hundred eighty".