2878751040 has 448 divisors, whose sum is σ = 10476829440. Its totient is φ = 663552000.

The previous prime is 2878751039. The next prime is 2878751087. The reversal of 2878751040 is 401578782.

It is a junction number, because it is equal to n+sod(n) for n = 2878750983 and 2878751001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26410506 + ... + 26410614.

It is an arithmetic number, because the mean of its divisors is an integer number (23385780).

Almost surely, 2^2878751040 is an apocalyptic number.

2878751040 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 2878751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238414720).

2878751040 is an abundant number, since it is smaller than the sum of its proper divisors (7598078400).

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

2878751040 is a wasteful number, since it uses less digits than its factorization.

2878751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2878751040 is about 53653.9937003761. The cubic root of 2878751040 is about 1422.5516245834.

The spelling of 2878751040 in words is "two billion, eight hundred seventy-eight million, seven hundred fifty-one thousand, forty".