2886625993680 has 640 divisors, whose sum is σ = 12368223383040. Its totient is φ = 607959613440.

The previous prime is 2886625993649. The next prime is 2886625993781. The reversal of 2886625993680 is 863995266882.

2886625993680 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 6 + 259 + 9 + 368 + 0 = 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 = 2886625993599 and 2886625993608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4976094 + ... + 5525826.

It is an arithmetic number, because the mean of its divisors is an integer number (19325349036).

Almost surely, 2^{2886625993680} is an apocalyptic number.

2886625993680 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 2886625993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184111691520).

2886625993680 is an abundant number, since it is smaller than the sum of its proper divisors (9481597389360).

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

2886625993680 is a wasteful number, since it uses less digits than its factorization.

2886625993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549796 (or 549784 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 2886625993680 in words is "two trillion, eight hundred eighty-six billion, six hundred twenty-five million, nine hundred ninety-three thousand, six hundred eighty".