2152304040 has 128 divisors (see below), whose sum is σ = 7196688000. Its totient is φ = 511746048.

The previous prime is 2152304029. The next prime is 2152304087. The reversal of 2152304040 is 404032512.

It is a junction number, because it is equal to n+sod(n) for n = 2152303998 and 2152304016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10996 + ... + 66524.

It is an arithmetic number, because the mean of its divisors is an integer number (56224125).

Almost surely, 2^2152304040 is an apocalyptic number.

2152304040 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 2152304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598344000).

2152304040 is an abundant number, since it is smaller than the sum of its proper divisors (5044383960).

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

2152304040 is a wasteful number, since it uses less digits than its factorization.

2152304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55579 (or 55575 counting only the distinct ones).

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

The square root of 2152304040 is about 46392.9309270281. The cubic root of 2152304040 is about 1291.1237608709.

Adding to 2152304040 its reverse (404032512), we get a palindrome (2556336552).

The spelling of 2152304040 in words is "two billion, one hundred fifty-two million, three hundred four thousand, forty".