2800385280 has 972 divisors, whose sum is σ = 12690866916. Its totient is φ = 567705600.

The previous prime is 2800385257. The next prime is 2800385303. The reversal of 2800385280 is 825830082.

It is an interprime number because it is at equal distance from previous prime (2800385257) and next prime (2800385303).

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 2308610304 = 22176^2 + 48048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68302060 + ... + 68302100.

Almost surely, 2^2800385280 is an apocalyptic number.

2800385280 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 2800385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345433458).

2800385280 is an abundant number, since it is smaller than the sum of its proper divisors (9890481636).

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

2800385280 is a wasteful number, since it uses less digits than its factorization.

2800385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2800385280 is about 52918.6666498694. Note that the first 4 decimals coincide. The cubic root of 2800385280 is about 1409.5243906684.

The spelling of 2800385280 in words is "two billion, eight hundred million, three hundred eighty-five thousand, two hundred eighty".