2788379369280 has 1008 divisors, whose sum is σ = 10414427272704. Its totient is φ = 684493701120.

The previous prime is 2788379369213. The next prime is 2788379369291. The reversal of 2788379369280 is 829639738872.

2788379369280 is a `hidden beast` number, since 278 + 8 + 3 + 79 + 3 + 6 + 9 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2788379369199 and 2788379369208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12503943249 + ... + 12503943471.

It is an arithmetic number, because the mean of its divisors is an integer number (10331773088).

Almost surely, 2^{2788379369280} is an apocalyptic number.

2788379369280 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 2788379369280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207213636352).

2788379369280 is an abundant number, since it is smaller than the sum of its proper divisors (7626047903424).

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

2788379369280 is a wasteful number, since it uses less digits than its factorization.

2788379369280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 2788379369280 in words is "two trillion, seven hundred eighty-eight billion, three hundred seventy-nine million, three hundred sixty-nine thousand, two hundred eighty".