2716701120 has 1008 divisors, whose sum is σ = 12142061568. Its totient is φ = 574801920.

The previous prime is 2716701103. The next prime is 2716701199. The reversal of 2716701120 is 211076172.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87635505 + ... + 87635535.

It is an arithmetic number, because the mean of its divisors is an integer number (12045696).

Almost surely, 2^2716701120 is an apocalyptic number.

2716701120 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 2716701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071030784).

2716701120 is an abundant number, since it is smaller than the sum of its proper divisors (9425360448).

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

2716701120 is a wasteful number, since it uses less digits than its factorization.

2716701120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2716701120 is about 52121.9830781600. The cubic root of 2716701120 is about 1395.3418517046.

Adding to 2716701120 its reverse (211076172), we get a palindrome (2927777292).

The spelling of 2716701120 in words is "two billion, seven hundred sixteen million, seven hundred one thousand, one hundred twenty".