2734000 has 40 divisors (see below), whose sum is σ = 6615648. Its totient is φ = 1092800.

The previous prime is 2733979. The next prime is 2734007. The reversal of 2734000 is 4372.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2734007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317 + ... + 2683.

2^2734000 is an apocalyptic number.

2734000 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 2734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824).

2734000 is an abundant number, since it is smaller than the sum of its proper divisors (3881648).

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

2734000 is a wasteful number, since it uses less digits than its factorization.

2734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 2734000 is about 1653.4811761856. The cubic root of 2734000 is about 139.8297249597.

Adding to 2734000 its reverse (4372), we get a palindrome (2738372).

The spelling of 2734000 in words is "two million, seven hundred thirty-four thousand".