2788145560 has 128 divisors (see below), whose sum is σ = 6725928960. Its totient is φ = 1037836800.

The previous prime is 2788145551. The next prime is 2788145587. The reversal of 2788145560 is 655418872.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 2788145560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10288225 + ... + 10288495.

It is an arithmetic number, because the mean of its divisors is an integer number (52546320).

Almost surely, 2^2788145560 is an apocalyptic number.

2788145560 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 2788145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362964480).

2788145560 is an abundant number, since it is smaller than the sum of its proper divisors (3937783400).

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

2788145560 is a wasteful number, since it uses less digits than its factorization.

2788145560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 2788145560 is about 52802.8934813235. The cubic root of 2788145560 is about 1407.4678427032.

It can be divided in two parts, 27881 and 45560, that added together give a square (73441 = 271²).

The spelling of 2788145560 in words is "two billion, seven hundred eighty-eight million, one hundred forty-five thousand, five hundred sixty".