2152253440 has 96 divisors (see below), whose sum is σ = 5217783480. Its totient is φ = 851968000.

The previous prime is 2152253437. The next prime is 2152253449. The reversal of 2152253440 is 443522512.

It can be written as a sum of positive squares in 4 ways, for example, as 2038703104 + 113550336 = 45152^2 + 10656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2152253399 and 2152253408.

It is not an unprimeable number, because it can be changed into a prime (2152253449) 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, 1033200 + ... + 1035280.

Almost surely, 2^2152253440 is an apocalyptic number.

2152253440 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 2152253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608891740).

2152253440 is an abundant number, since it is smaller than the sum of its proper divisors (3065530040).

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

2152253440 is a wasteful number, since it uses less digits than its factorization.

2152253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2152253440 is about 46392.3855821190. The cubic root of 2152253440 is about 1291.1136428187.

Adding to 2152253440 its reverse (443522512), we get a palindrome (2595775952).

The spelling of 2152253440 in words is "two billion, one hundred fifty-two million, two hundred fifty-three thousand, four hundred forty".