2153433040 has 80 divisors (see below), whose sum is σ = 5479131456. Its totient is φ = 780595200.

The previous prime is 2153433017. The next prime is 2153433043. The reversal of 2153433040 is 403343512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2153432996 and 2153433014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153433043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 287584 + ... + 294976.

Almost surely, 2^2153433040 is an apocalyptic number.

2153433040 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 2153433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739565728).

2153433040 is an abundant number, since it is smaller than the sum of its proper divisors (3325698416).

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

2153433040 is a wasteful number, since it uses less digits than its factorization.

2153433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2153433040 is about 46405.0971338279. The cubic root of 2153433040 is about 1291.3494761813.

Adding to 2153433040 its reverse (403343512), we get a palindrome (2556776552).

The spelling of 2153433040 in words is "two billion, one hundred fifty-three million, four hundred thirty-three thousand, forty".