2545553952 has 90 divisors (see below), whose sum is σ = 7493965479. Its totient is φ = 847661760.

The previous prime is 2545553951. The next prime is 2545553963. The reversal of 2545553952 is 2593555452.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2545553952 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 553 + 95 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1272776976 + 1272776976 = 35676^2 + 35676^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35676.

It is a junction number, because it is equal to n+sod(n) for n = 2545553898 and 2545553907.

It is not an unprimeable number, because it can be changed into a prime (2545553951) 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 14 ways as a sum of consecutive naturals, for example, 2568177 + ... + 2569167.

Almost surely, 2^2545553952 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 2545553952

2545553952 is an abundant number, since it is smaller than the sum of its proper divisors (4948411527).

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

2545553952 is an frugal number, since it uses more digits than its factorization.

2545553952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 996 counting only the distinct ones).

The product of its digits is 1350000, while the sum is 45.

The square root of 2545553952 is about 50453.4830512225. The cubic root of 2545553952 is about 1365.4027358910.

The spelling of 2545553952 in words is "two billion, five hundred forty-five million, five hundred fifty-three thousand, nine hundred fifty-two".