2545664448 has 112 divisors (see below), whose sum is σ = 7037807616. Its totient is φ = 811130880.

The previous prime is 2545664447. The next prime is 2545664453. The reversal of 2545664448 is 8444665452.

2545664448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2545664448² = 12960814963622289408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2545664397 and 2545664406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545664447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491440 + ... + 496592.

It is an arithmetic number, because the mean of its divisors is an integer number (62837568).

Almost surely, 2^2545664448 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 2545664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518903808).

2545664448 is an abundant number, since it is smaller than the sum of its proper divisors (4492143168).

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

2545664448 is a wasteful number, since it uses less digits than its factorization.

2545664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5282 (or 5272 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The square root of 2545664448 is about 50454.5780678027. The cubic root of 2545664448 is about 1365.4224918210.

The spelling of 2545664448 in words is "two billion, five hundred forty-five million, six hundred sixty-four thousand, four hundred forty-eight".