2714000 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 1020800.

The previous prime is 2713993. The next prime is 2714009. The reversal of 2714000 is 4172.

2714000 = T₇₉ + T₈₀ + ... + T₂₅₅.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2714009) 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, 45971 + ... + 46029.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2714000 is an apocalyptic number.

2714000 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 2714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2714000 is an abundant number, since it is smaller than the sum of its proper divisors (4249840).

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

2714000 is a wasteful number, since it uses less digits than its factorization.

2714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2714000 is about 1647.4222288169. The cubic root of 2714000 is about 139.4879251977.

Adding to 2714000 its reverse (4172), we get a palindrome (2718172).

The spelling of 2714000 in words is "two million, seven hundred fourteen thousand".