2788362289920 has 576 divisors, whose sum is σ = 9402424593408. Its totient is φ = 702873600000.

The previous prime is 2788362289861. The next prime is 2788362289957. The reversal of 2788362289920 is 299822638872.

It is a happy number.

It is a super-2 number, since 2×2788362289920² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4639537620 + ... + 4639538220.

It is an arithmetic number, because the mean of its divisors is an integer number (16323653808).

Almost surely, 2^{2788362289920} is an apocalyptic number.

2788362289920 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 2788362289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701212296704).

2788362289920 is an abundant number, since it is smaller than the sum of its proper divisors (6614062303488).

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

2788362289920 is a wasteful number, since it uses less digits than its factorization.

2788362289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 2788362289920 in words is "two trillion, seven hundred eighty-eight billion, three hundred sixty-two million, two hundred eighty-nine thousand, nine hundred twenty".