2788220448000 has 2304 divisors, whose sum is σ = 11879495147520. Its totient is φ = 638668800000.

The previous prime is 2788220447963. The next prime is 2788220448029. The reversal of 2788220448000 is 8440228872.

2788220448000 is a `hidden beast` number, since 2 + 78 + 82 + 20 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 11108447875 + ... + 11108448125.

It is an arithmetic number, because the mean of its divisors is an integer number (5156030880).

Almost surely, 2^{2788220448000} is an apocalyptic number.

2788220448000 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 2788220448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939747573760).

2788220448000 is an abundant number, since it is smaller than the sum of its proper divisors (9091274699520).

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

2788220448000 is a wasteful number, since it uses less digits than its factorization.

2788220448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

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

The spelling of 2788220448000 in words is "two trillion, seven hundred eighty-eight billion, two hundred twenty million, four hundred forty-eight thousand".