2102735278080 has 624 divisors, whose sum is σ = 7627644775296. Its totient is φ = 534789488640.

The previous prime is 2102735278027. The next prime is 2102735278087. The reversal of 2102735278080 is 808725372012.

2102735278080 is a `hidden beast` number, since 21 + 0 + 27 + 3 + 527 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2102735278087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2386759240 + ... + 2386760120.

It is an arithmetic number, because the mean of its divisors is an integer number (12223789704).

Almost surely, 2^{2102735278080} is an apocalyptic number.

2102735278080 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 2102735278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813822387648).

2102735278080 is an abundant number, since it is smaller than the sum of its proper divisors (5524909497216).

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

2102735278080 is a wasteful number, since it uses less digits than its factorization.

2102735278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2102735278080 in words is "two trillion, one hundred two billion, seven hundred thirty-five million, two hundred seventy-eight thousand, eighty".