2957663808 has 448 divisors, whose sum is σ = 10257373440. Its totient is φ = 836075520.

The previous prime is 2957663801. The next prime is 2957663809. The reversal of 2957663808 is 8083667592.

It is a happy number.

2957663808 is a `hidden beast` number, since 2 + 9 + 576 + 63 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2957663801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26173960 + ... + 26174072.

Almost surely, 2^2957663808 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 2957663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128686720).

2957663808 is an abundant number, since it is smaller than the sum of its proper divisors (7299709632).

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

2957663808 is a wasteful number, since it uses less digits than its factorization.

2957663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2957663808 is about 54384.4077654616. The cubic root of 2957663808 is about 1435.4330311424.

The spelling of 2957663808 in words is "two billion, nine hundred fifty-seven million, six hundred sixty-three thousand, eight hundred eight".