2034143626344 has 256 divisors, whose sum is σ = 5567927040000. Its totient is φ = 616823218176.

The previous prime is 2034143626331. The next prime is 2034143626351. The reversal of 2034143626344 is 4436263414302.

It is a junction number, because it is equal to n+sod(n) for n = 2034143626296 and 2034143626305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304773837 + ... + 1304775395.

It is an arithmetic number, because the mean of its divisors is an integer number (21749715000).

Almost surely, 2^{2034143626344} is an apocalyptic number.

2034143626344 is a gapful number since it is divisible by the number (24) 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 2034143626344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783963520000).

2034143626344 is an abundant number, since it is smaller than the sum of its proper divisors (3533783413656).

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

2034143626344 is a wasteful number, since it uses less digits than its factorization.

2034143626344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 2034143626344 in words is "two trillion, thirty-four billion, one hundred forty-three million, six hundred twenty-six thousand, three hundred forty-four".