2053052322024 has 128 divisors (see below), whose sum is σ = 5805697161600. Its totient is φ = 599295836160.

The previous prime is 2053052322017. The next prime is 2053052322031. The reversal of 2053052322024 is 4202232503502.

It is an interprime number because it is at equal distance from previous prime (2053052322017) and next prime (2053052322031).

It is a junction number, because it is equal to n+sod(n) for n = 2053052321982 and 2053052322000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005392 + ... + 3624704.

It is an arithmetic number, because the mean of its divisors is an integer number (45357009075).

Almost surely, 2^{2053052322024} is an apocalyptic number.

2053052322024 is a gapful number since it is divisible by the number (24) 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 2053052322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902848580800).

2053052322024 is an abundant number, since it is smaller than the sum of its proper divisors (3752644839576).

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

2053052322024 is a wasteful number, since it uses less digits than its factorization.

2053052322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619795 (or 619791 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 2053052322024 its reverse (4202232503502), we get a palindrome (6255284825526).

The spelling of 2053052322024 in words is "two trillion, fifty-three billion, fifty-two million, three hundred twenty-two thousand, twenty-four".