2878656000 has 640 divisors, whose sum is σ = 11030722560. Its totient is φ = 659456000.

The previous prime is 2878655947. The next prime is 2878656013. The reversal of 2878656000 is 6568782.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×2878656000³ (a number of 29 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 61247977 + ... + 61248023.

It is an arithmetic number, because the mean of its divisors is an integer number (17235504).

Almost surely, 2^2878656000 is an apocalyptic number.

2878656000 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 2878656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515361280).

2878656000 is an abundant number, since it is smaller than the sum of its proper divisors (8152066560).

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

2878656000 is a wasteful number, since it uses less digits than its factorization.

2878656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2878656000 is about 53653.1080180822. The cubic root of 2878656000 is about 1422.5359695543.

The spelling of 2878656000 in words is "two billion, eight hundred seventy-eight million, six hundred fifty-six thousand".