2880877824 has 216 divisors, whose sum is σ = 9194762304. Its totient is φ = 860160000.

The previous prime is 2880877823. The next prime is 2880877849. The reversal of 2880877824 is 4287780882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880877823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1798624 + ... + 1800224.

It is an arithmetic number, because the mean of its divisors is an integer number (42568344).

Almost surely, 2^2880877824 is an apocalyptic number.

2880877824 is a gapful number since it is divisible by the number (24) 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 2880877824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597381152).

2880877824 is an abundant number, since it is smaller than the sum of its proper divisors (6313884480).

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

2880877824 is a wasteful number, since it uses less digits than its factorization.

2880877824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 2880877824 is about 53673.8094791119. The cubic root of 2880877824 is about 1422.9018592559.

The spelling of 2880877824 in words is "two billion, eight hundred eighty million, eight hundred seventy-seven thousand, eight hundred twenty-four".