2034123840 has 672 divisors, whose sum is σ = 8600626944. Its totient is φ = 447897600.

The previous prime is 2034123827. The next prime is 2034123851. The reversal of 2034123840 is 483214302.

2034123840 is a `hidden beast` number, since 203 + 412 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20139790 + ... + 20139890.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2^2034123840 is an apocalyptic number.

2034123840 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 2034123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300313472).

2034123840 is an abundant number, since it is smaller than the sum of its proper divisors (6566503104).

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

2034123840 is a wasteful number, since it uses less digits than its factorization.

2034123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2034123840 is about 45101.2620665985. The cubic root of 2034123840 is about 1267.0462365082.

The spelling of 2034123840 in words is "two billion, thirty-four million, one hundred twenty-three thousand, eight hundred forty".