2788440480 has 288 divisors, whose sum is σ = 11251094400. Its totient is φ = 615315456.

The previous prime is 2788440467. The next prime is 2788440493. The reversal of 2788440480 is 840448872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2788440467) and next prime (2788440493).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287551 + ... + 297089.

It is an arithmetic number, because the mean of its divisors is an integer number (39066300).

Almost surely, 2^2788440480 is an apocalyptic number.

2788440480 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 2788440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625547200).

2788440480 is an abundant number, since it is smaller than the sum of its proper divisors (8462653920).

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

2788440480 is a wasteful number, since it uses less digits than its factorization.

2788440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2788440480 is about 52805.6860574692. The cubic root of 2788440480 is about 1407.5174665807.

The spelling of 2788440480 in words is "two billion, seven hundred eighty-eight million, four hundred forty thousand, four hundred eighty".