2514232000 has 448 divisors, whose sum is σ = 7988198400. Its totient is φ = 763084800.

The previous prime is 2514231989. The next prime is 2514232013. The reversal of 2514232000 is 2324152.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (19).

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 63 ways as a sum of consecutive naturals, for example, 18087931 + ... + 18088069.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^2514232000 is an apocalyptic number.

2514232000 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 2514232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

2514232000 is an abundant number, since it is smaller than the sum of its proper divisors (5473966400).

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

2514232000 is a wasteful number, since it uses less digits than its factorization.

2514232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2514232000 is about 50142.1180246706. The cubic root of 2514232000 is about 1359.7793759762.

Adding to 2514232000 its reverse (2324152), we get a palindrome (2516556152).

The spelling of 2514232000 in words is "two billion, five hundred fourteen million, two hundred thirty-two thousand".