2545665408 has 640 divisors, whose sum is σ = 9517163040. Its totient is φ = 663552000.

The previous prime is 2545665401. The next prime is 2545665413. The reversal of 2545665408 is 8045665452.

2545665408 is a `hidden beast` number, since 2 + 5 + 45 + 66 + 540 + 8 = 666.

2545665408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545665401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25204558 + ... + 25204658.

Almost surely, 2^2545665408 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 2545665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758581520).

2545665408 is an abundant number, since it is smaller than the sum of its proper divisors (6971497632).

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

2545665408 is a wasteful number, since it uses less digits than its factorization.

2545665408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 2545665408 is about 50454.5875813092. The cubic root of 2545665408 is about 1365.4226634600.

The spelling of 2545665408 in words is "two billion, five hundred forty-five million, six hundred sixty-five thousand, four hundred eight".