2553305472 has 144 divisors (see below), whose sum is σ = 7556012100. Its totient is φ = 827587584.

The previous prime is 2553305413. The next prime is 2553305473. The reversal of 2553305472 is 2745033552.

2553305472 is a `hidden beast` number, since 2 + 5 + 533 + 0 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553305473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1576279 + ... + 1577897.

Almost surely, 2^2553305472 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 2553305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778006050).

2553305472 is an abundant number, since it is smaller than the sum of its proper divisors (5002706628).

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

2553305472 is a wasteful number, since it uses less digits than its factorization.

2553305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 2553305472 is about 50530.2431421025. The cubic root of 2553305472 is about 1366.7872703668.

It can be divided in two parts, 2553 and 305472, that added together give a square (308025 = 555²).

The spelling of 2553305472 in words is "two billion, five hundred fifty-three million, three hundred five thousand, four hundred seventy-two".