2878747200 has 252 divisors, whose sum is σ = 11693834880. Its totient is φ = 657976320.

The previous prime is 2878747159. The next prime is 2878747211. The reversal of 2878747200 is 27478782.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 86521 + ... + 115079.

Almost surely, 2^2878747200 is an apocalyptic number.

2878747200 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 2878747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846917440).

2878747200 is an abundant number, since it is smaller than the sum of its proper divisors (8815087680).

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

2878747200 is a wasteful number, since it uses less digits than its factorization.

2878747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28594 (or 28576 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 2878747200 is about 53653.9579155164. The cubic root of 2878747200 is about 1422.5509920637.

The spelling of 2878747200 in words is "two billion, eight hundred seventy-eight million, seven hundred forty-seven thousand, two hundred".