2553505444 has 72 divisors (see below), whose sum is σ = 5318156088. Its totient is φ = 1069286400.

The previous prime is 2553505439. The next prime is 2553505481. The reversal of 2553505444 is 4445053552.

It can be written as a sum of positive squares in 4 ways, for example, as 556488100 + 1997017344 = 23590^2 + 44688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4165282 + ... + 4165894.

It is an arithmetic number, because the mean of its divisors is an integer number (73863279).

Almost surely, 2^2553505444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553505444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659078044).

2553505444 is an abundant number, since it is smaller than the sum of its proper divisors (2764650644).

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

2553505444 is a wasteful number, since it uses less digits than its factorization.

2553505444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 37.

The square root of 2553505444 is about 50532.2218391394. The cubic root of 2553505444 is about 1366.8229511803.

Adding to 2553505444 its reverse (4445053552), we get a palindrome (6998558996).

The spelling of 2553505444 in words is "two billion, five hundred fifty-three million, five hundred five thousand, four hundred forty-four".