2953625808 has 80 divisors (see below), whose sum is σ = 8778902400. Its totient is φ = 838215168.

The previous prime is 2953625797. The next prime is 2953625809. The reversal of 2953625808 is 8085263592.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953625809) 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, 20566 + ... + 79562.

It is an arithmetic number, because the mean of its divisors is an integer number (109736280).

Almost surely, 2^2953625808 is an apocalyptic number.

2953625808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2953625808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389451200).

2953625808 is an abundant number, since it is smaller than the sum of its proper divisors (5825276592).

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

2953625808 is a wasteful number, since it uses less digits than its factorization.

2953625808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59164 (or 59158 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 2953625808 is about 54347.2704742382. The cubic root of 2953625808 is about 1434.7794839758.

The spelling of 2953625808 in words is "two billion, nine hundred fifty-three million, six hundred twenty-five thousand, eight hundred eight".