2114022834000 has 1280 divisors, whose sum is σ = 9473050828800. Its totient is φ = 437812992000.

The previous prime is 2114022833983. The next prime is 2114022834019. The reversal of 2114022834000 is 4382204112.

2114022834000 is a `hidden beast` number, since 21 + 14 + 0 + 228 + 3 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1617461347 + ... + 1617462653.

It is an arithmetic number, because the mean of its divisors is an integer number (7400820960).

Almost surely, 2^{2114022834000} is an apocalyptic number.

2114022834000 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 2114022834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736525414400).

2114022834000 is an abundant number, since it is smaller than the sum of its proper divisors (7359027994800).

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

2114022834000 is a wasteful number, since it uses less digits than its factorization.

2114022834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2114022834000 in words is "two trillion, one hundred fourteen billion, twenty-two million, eight hundred thirty-four thousand".