2553505344 has 224 divisors, whose sum is σ = 8203265280. Its totient is φ = 774144000.

The previous prime is 2553505337. The next prime is 2553505363. The reversal of 2553505344 is 4435053552.

2553505344 is a `hidden beast` number, since 2 + 553 + 50 + 53 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2553505299 and 2553505308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594144 + ... + 1595744.

It is an arithmetic number, because the mean of its divisors is an integer number (36621720).

Almost surely, 2^2553505344 is an apocalyptic number.

2553505344 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 2553505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101632640).

2553505344 is an abundant number, since it is smaller than the sum of its proper divisors (5649759936).

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

2553505344 is a wasteful number, since it uses less digits than its factorization.

2553505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The square root of 2553505344 is about 50532.2208496717. The cubic root of 2553505344 is about 1366.8229333379.

Adding to 2553505344 its reverse (4435053552), we get a palindrome (6988558896).

The spelling of 2553505344 in words is "two billion, five hundred fifty-three million, five hundred five thousand, three hundred forty-four".