2714171040 has 576 divisors, whose sum is σ = 11480361984. Its totient is φ = 569769984.

The previous prime is 2714171029. The next prime is 2714171063. The reversal of 2714171040 is 401714172.

2714171040 = T₁₇₆ + T₁₇₇ + ... + T₂₅₃₄.

It is a junction number, because it is equal to n+sod(n) for n = 2714170995 and 2714171013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8053752 + ... + 8054088.

It is an arithmetic number, because the mean of its divisors is an integer number (19931184).

Almost surely, 2^2714171040 is an apocalyptic number.

2714171040 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 2714171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740180992).

2714171040 is an abundant number, since it is smaller than the sum of its proper divisors (8766190944).

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

2714171040 is a wasteful number, since it uses less digits than its factorization.

2714171040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2714171040 is about 52097.7066673764. The cubic root of 2714171040 is about 1394.9085537620.

The spelling of 2714171040 in words is "two billion, seven hundred fourteen million, one hundred seventy-one thousand, forty".