2788488793600 has 480 divisors, whose sum is σ = 7421243867136. Its totient is φ = 1035873484800.

The previous prime is 2788488793591. The next prime is 2788488793603. The reversal of 2788488793600 is 63978848872.

It is a self number, because there is not a number n which added to its sum of digits gives 2788488793600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788488793603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1895640865 + ... + 1895642335.

Almost surely, 2^{2788488793600} is an apocalyptic number.

2788488793600 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 2788488793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710621933568).

2788488793600 is an abundant number, since it is smaller than the sum of its proper divisors (4632755073536).

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

2788488793600 is a wasteful number, since it uses less digits than its factorization.

2788488793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 70.

The spelling of 2788488793600 in words is "two trillion, seven hundred eighty-eight billion, four hundred eighty-eight million, seven hundred ninety-three thousand, six hundred".