2880475392 has 144 divisors (see below), whose sum is σ = 8108629760. Its totient is φ = 905250816.

The previous prime is 2880475387. The next prime is 2880475397. The reversal of 2880475392 is 2935740882.

It is an interprime number because it is at equal distance from previous prime (2880475387) and next prime (2880475397).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2880475397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479423 + ... + 4480065.

Almost surely, 2^2880475392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054314880).

2880475392 is an abundant number, since it is smaller than the sum of its proper divisors (5228154368).

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

2880475392 is a wasteful number, since it uses less digits than its factorization.

2880475392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2880475392 is about 53670.0604806814. The cubic root of 2880475392 is about 1422.8356007586.

It can be divided in two parts, 28804 and 75392, that added together give a triangular number (104196 = T₄₅₆).

The spelling of 2880475392 in words is "two billion, eight hundred eighty million, four hundred seventy-five thousand, three hundred ninety-two".