2716631280 has 240 divisors, whose sum is σ = 10538727264. Its totient is φ = 619806720.

The previous prime is 2716631261. The next prime is 2716631293. The reversal of 2716631280 is 821366172.

2716631280 is a `hidden beast` number, since 2 + 7 + 16 + 631 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2716631280² = 14760171022948876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124552 + ... + 144728.

Almost surely, 2^2716631280 is an apocalyptic number.

2716631280 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 2716631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269363632).

2716631280 is an abundant number, since it is smaller than the sum of its proper divisors (7822095984).

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

2716631280 is a wasteful number, since it uses less digits than its factorization.

2716631280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2716631280 is about 52121.3131070199. The cubic root of 2716631280 is about 1395.3298946157.

The spelling of 2716631280 in words is "two billion, seven hundred sixteen million, six hundred thirty-one thousand, two hundred eighty".