2145234000 has 320 divisors, whose sum is σ = 8514455040. Its totient is φ = 452505600.

The previous prime is 2145233953. The next prime is 2145234001. The reversal of 2145234000 is 4325412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145234001) 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 63 ways as a sum of consecutive naturals, for example, 544036 + ... + 547964.

It is an arithmetic number, because the mean of its divisors is an integer number (26607672).

Almost surely, 2^2145234000 is an apocalyptic number.

2145234000 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 2145234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257227520).

2145234000 is an abundant number, since it is smaller than the sum of its proper divisors (6369221040).

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

2145234000 is a wasteful number, since it uses less digits than its factorization.

2145234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2145234000 is about 46316.6708648193. The cubic root of 2145234000 is about 1289.7084852972.

Adding to 2145234000 its reverse (4325412), we get a palindrome (2149559412).

The spelling of 2145234000 in words is "two billion, one hundred forty-five million, two hundred thirty-four thousand".