2153253440 has 56 divisors (see below), whose sum is σ = 5521863480. Its totient is φ = 795045888.

The previous prime is 2153253391. The next prime is 2153253463. The reversal of 2153253440 is 443523512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9193024 + 2144060416 = 3032^2 + 46304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254645 + ... + 262964.

It is an arithmetic number, because the mean of its divisors is an integer number (98604705).

Almost surely, 2^2153253440 is an apocalyptic number.

2153253440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153253440 is an abundant number, since it is smaller than the sum of its proper divisors (3368610040).

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

2153253440 is a wasteful number, since it uses less digits than its factorization.

2153253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517639 (or 517629 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2153253440 is about 46403.1619612285. The cubic root of 2153253440 is about 1291.3135749313.

Adding to 2153253440 its reverse (443523512), we get a palindrome (2596776952).

The spelling of 2153253440 in words is "two billion, one hundred fifty-three million, two hundred fifty-three thousand, four hundred forty".