2140324224 has 64 divisors (see below), whose sum is σ = 5726280000. Its totient is φ = 708291072.

The previous prime is 2140324223. The next prime is 2140324231. The reversal of 2140324224 is 4224230412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2140324194 and 2140324203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140324223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33327 + ... + 73425.

It is an arithmetic number, because the mean of its divisors is an integer number (89473125).

Almost surely, 2^2140324224 is an apocalyptic number.

2140324224 is a gapful number since it is divisible by the number (24) 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 2140324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863140000).

2140324224 is an abundant number, since it is smaller than the sum of its proper divisors (3585955776).

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

2140324224 is a wasteful number, since it uses less digits than its factorization.

2140324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40255 (or 40243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2140324224 is about 46263.6382486289. The cubic root of 2140324224 is about 1288.7238193323.

Adding to 2140324224 its reverse (4224230412), we get a palindrome (6364554636).

The spelling of 2140324224 in words is "two billion, one hundred forty million, three hundred twenty-four thousand, two hundred twenty-four".