2053530144 has 60 divisors (see below), whose sum is σ = 6039382734. Its totient is φ = 684509184.

The previous prime is 2053530139. The next prime is 2053530151. The reversal of 2053530144 is 4410353502.

It can be written as a sum of positive squares in only one way, i.e., 1128153744 + 925376400 = 33588^2 + 30420^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 393537 + ... + 398720.

Almost surely, 2^2053530144 is an apocalyptic number.

2053530144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2053530144 is an abundant number, since it is smaller than the sum of its proper divisors (3985852590).

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

2053530144 is an equidigital number, since it uses as much as digits as its factorization.

2053530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792279 (or 792262 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2053530144 is about 45315.8928412538. The cubic root of 2053530144 is about 1271.0628554752.

Adding to 2053530144 its reverse (4410353502), we get a palindrome (6463883646).

The spelling of 2053530144 in words is "two billion, fifty-three million, five hundred thirty thousand, one hundred forty-four".