2553960448 has 144 divisors (see below), whose sum is σ = 5683335840. Its totient is φ = 1146322944.

The previous prime is 2553960443. The next prime is 2553960463. The reversal of 2553960448 is 8440693552.

It is a junction number, because it is equal to n+sod(n) for n = 2553960398 and 2553960407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553960443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16267186 + ... + 16267342.

It is an arithmetic number, because the mean of its divisors is an integer number (39467610).

Almost surely, 2^2553960448 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 2553960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841667920).

2553960448 is an abundant number, since it is smaller than the sum of its proper divisors (3129375392).

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

2553960448 is a wasteful number, since it uses less digits than its factorization.

2553960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The square root of 2553960448 is about 50536.7237560964. The cubic root of 2553960448 is about 1366.9041301698.

The spelling of 2553960448 in words is "two billion, five hundred fifty-three million, nine hundred sixty thousand, four hundred forty-eight".