2023734000 has 160 divisors (see below), whose sum is σ = 6550652160. Its totient is φ = 537504000.

The previous prime is 2023733993. The next prime is 2023734001. The reversal of 2023734000 is 4373202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023734001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985491 + ... + 1986509.

It is an arithmetic number, because the mean of its divisors is an integer number (40941576).

Almost surely, 2^2023734000 is an apocalyptic number.

2023734000 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 2023734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275326080).

2023734000 is an abundant number, since it is smaller than the sum of its proper divisors (4526918160).

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

2023734000 is a wasteful number, since it uses less digits than its factorization.

2023734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 2023734000 is about 44985.9311340779. The cubic root of 2023734000 is about 1264.8852921865.

The spelling of 2023734000 in words is "two billion, twenty-three million, seven hundred thirty-four thousand".