2878048320 has 672 divisors, whose sum is σ = 11633362560. Its totient is φ = 598671360.

The previous prime is 2878048309. The next prime is 2878048321. The reversal of 2878048320 is 238408782.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2878048321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47181090 + ... + 47181150.

Almost surely, 2^2878048320 is an apocalyptic number.

2878048320 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 2878048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816681280).

2878048320 is an abundant number, since it is smaller than the sum of its proper divisors (8755314240).

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

2878048320 is a wasteful number, since it uses less digits than its factorization.

2878048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2878048320 is about 53647.4446735350. Note that the first 3 decimals coincide. The cubic root of 2878048320 is about 1422.4358641008.

The spelling of 2878048320 in words is "two billion, eight hundred seventy-eight million, forty-eight thousand, three hundred twenty".