2134045333420 has 432 divisors, whose sum is σ = 6289490446848. Its totient is φ = 600903313920.

The previous prime is 2134045333391. The next prime is 2134045333471. The reversal of 2134045333420 is 243335404312.

It is a super-3 number, since 3×2134045333420³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85613079 + ... + 85638001.

It is an arithmetic number, because the mean of its divisors is an integer number (14559005664).

Almost surely, 2^{2134045333420} is an apocalyptic number.

2134045333420 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 2134045333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144745223424).

2134045333420 is an abundant number, since it is smaller than the sum of its proper divisors (4155445113428).

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

2134045333420 is a wasteful number, since it uses less digits than its factorization.

2134045333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25030 (or 25008 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 2134045333420 in words is "two trillion, one hundred thirty-four billion, forty-five million, three hundred thirty-three thousand, four hundred twenty".