2963378880 has 1008 divisors, whose sum is σ = 13659819264. Its totient is φ = 581898240.

The previous prime is 2963378867. The next prime is 2963378881. The reversal of 2963378880 is 888733692.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2963378880² = 17563228772860108800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963378881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35703319 + ... + 35703401.

It is an arithmetic number, because the mean of its divisors is an integer number (13551408).

Almost surely, 2^2963378880 is an apocalyptic number.

2963378880 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 2963378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829909632).

2963378880 is an abundant number, since it is smaller than the sum of its proper divisors (10696440384).

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

2963378880 is a wasteful number, since it uses less digits than its factorization.

2963378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 2963378880 is about 54436.9257030556. The cubic root of 2963378880 is about 1436.3569951672.

The spelling of 2963378880 in words is "two billion, nine hundred sixty-three million, three hundred seventy-eight thousand, eight hundred eighty".