2953690880 has 144 divisors (see below), whose sum is σ = 8201378304. Its totient is φ = 998215680.

The previous prime is 2953690877. The next prime is 2953690903. The reversal of 2953690880 is 880963592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633839 + ... + 638481.

It is an arithmetic number, because the mean of its divisors is an integer number (56954016).

Almost surely, 2^2953690880 is an apocalyptic number.

2953690880 is a gapful number since it is divisible by the number (20) 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 2953690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100689152).

2953690880 is an abundant number, since it is smaller than the sum of its proper divisors (5247687424).

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

2953690880 is an equidigital number, since it uses as much as digits as its factorization.

2953690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 2953690880 is about 54347.8691394612. The cubic root of 2953690880 is about 1434.7900205491.

The spelling of 2953690880 in words is "two billion, nine hundred fifty-three million, six hundred ninety thousand, eight hundred eighty".