2716534000 has 80 divisors (see below), whose sum is σ = 6588256896. Its totient is φ = 1083360000.

The previous prime is 2716533959. The next prime is 2716534003. The reversal of 2716534000 is 4356172.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2716534000⁴ (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2716534000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2716534003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732150 + ... + 735850.

Almost surely, 2^2716534000 is an apocalyptic number.

2716534000 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 2716534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294128448).

2716534000 is an abundant number, since it is smaller than the sum of its proper divisors (3871722896).

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

2716534000 is a wasteful number, since it uses less digits than its factorization.

2716534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2716534000 is about 52120.3798911712. The cubic root of 2716534000 is about 1395.3132392684.

It can be divided in two parts, 271653 and 4000, that added together give a triangular number (275653 = T₇₄₂).

The spelling of 2716534000 in words is "two billion, seven hundred sixteen million, five hundred thirty-four thousand".