2882625408 has 192 divisors, whose sum is σ = 9265292400. Its totient is φ = 886837248.

The previous prime is 2882625407. The next prime is 2882625437. The reversal of 2882625408 is 8045262882.

2882625408 is a `hidden beast` number, since 2 + 88 + 26 + 2 + 540 + 8 = 666.

2882625408 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 tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2882625401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400788 + ... + 407916.

Almost surely, 2^2882625408 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 2882625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632646200).

2882625408 is an abundant number, since it is smaller than the sum of its proper divisors (6382666992).

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

2882625408 is an equidigital number, since it uses as much as digits as its factorization.

2882625408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2882625408 is about 53690.0866827387. The cubic root of 2882625408 is about 1423.1895190171.

The spelling of 2882625408 in words is "two billion, eight hundred eighty-two million, six hundred twenty-five thousand, four hundred eight".