2880267840 has 336 divisors, whose sum is σ = 10623590640. Its totient is φ = 713687040.

The previous prime is 2880267821. The next prime is 2880267911. The reversal of 2880267840 is 487620882.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 2866959936 = 3648^2 + 53544^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4357110 + ... + 4357770.

Almost surely, 2^2880267840 is an apocalyptic number.

2880267840 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 2880267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311795320).

2880267840 is an abundant number, since it is smaller than the sum of its proper divisors (7743322800).

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

2880267840 is a wasteful number, since it uses less digits than its factorization.

2880267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2880267840 is about 53668.1268538413. The cubic root of 2880267840 is about 1422.8014259058.

The spelling of 2880267840 in words is "two billion, eight hundred eighty million, two hundred sixty-seven thousand, eight hundred forty".