2553122340 has 144 divisors (see below), whose sum is σ = 8290900800. Its totient is φ = 634017024.

The previous prime is 2553122311. The next prime is 2553122347. The reversal of 2553122340 is 432213552.

It is a happy number.

2553122340 is a `hidden beast` number, since 2 + 5 + 5 + 312 + 2 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (2553122347) 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 47 ways as a sum of consecutive naturals, for example, 195454 + ... + 208106.

It is an arithmetic number, because the mean of its divisors is an integer number (57575700).

Almost surely, 2^2553122340 is an apocalyptic number.

2553122340 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 2553122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145450400).

2553122340 is an abundant number, since it is smaller than the sum of its proper divisors (5737778460).

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

2553122340 is a wasteful number, since it uses less digits than its factorization.

2553122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12741 counting only the distinct ones).

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

The square root of 2553122340 is about 50528.4310067115. The cubic root of 2553122340 is about 1366.7545926642.

Adding to 2553122340 its reverse (432213552), we get a palindrome (2985335892).

The spelling of 2553122340 in words is "two billion, five hundred fifty-three million, one hundred twenty-two thousand, three hundred forty".