2110745134680 has 768 divisors, whose sum is σ = 8076254376960. Its totient is φ = 437359104000.

The previous prime is 2110745134633. The next prime is 2110745134727. The reversal of 2110745134680 is 864315470112.

It is an interprime number because it is at equal distance from previous prime (2110745134633) and next prime (2110745134727).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1011376597 + ... + 1011378683.

It is an arithmetic number, because the mean of its divisors is an integer number (10515956220).

Almost surely, 2^{2110745134680} is an apocalyptic number.

2110745134680 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 2110745134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038127188480).

2110745134680 is an abundant number, since it is smaller than the sum of its proper divisors (5965509242280).

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

2110745134680 is a wasteful number, since it uses less digits than its factorization.

2110745134680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 2110745134680 in words is "two trillion, one hundred ten billion, seven hundred forty-five million, one hundred thirty-four thousand, six hundred eighty".