2703868231680 has 2176 divisors, whose sum is σ = 12381490944000. Its totient is φ = 561842749440.

The previous prime is 2703868231543. The next prime is 2703868231709. The reversal of 2703868231680 is 861328683072.

2703868231680 is a `hidden beast` number, since 27 + 0 + 386 + 8 + 231 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 245806202875 + ... + 245806202885.

Almost surely, 2^{2703868231680} is an apocalyptic number.

2703868231680 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 2703868231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190745472000).

2703868231680 is an abundant number, since it is smaller than the sum of its proper divisors (9677622712320).

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

2703868231680 is an frugal number, since it uses more digits than its factorization.

2703868231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2703868231680 in words is "two trillion, seven hundred three billion, eight hundred sixty-eight million, two hundred thirty-one thousand, six hundred eighty".