2788835679630 has 864 divisors, whose sum is σ = 10208120071968. Its totient is φ = 521811763200.

The previous prime is 2788835679629. The next prime is 2788835679667. The reversal of 2788835679630 is 369765388872.

It is a happy number.

2788835679630 is a `hidden beast` number, since 2 + 78 + 88 + 356 + 79 + 63 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 336121642 + ... + 336129938.

It is an arithmetic number, because the mean of its divisors is an integer number (11814953787).

Almost surely, 2^{2788835679630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788835679630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104060035984).

2788835679630 is an abundant number, since it is smaller than the sum of its proper divisors (7419284392338).

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

2788835679630 is a wasteful number, since it uses less digits than its factorization.

2788835679630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 2788835679630 in words is "two trillion, seven hundred eighty-eight billion, eight hundred thirty-five million, six hundred seventy-nine thousand, six hundred thirty".