2754000 has 200 divisors, whose sum is σ = 10532808. Its totient is φ = 691200.

The previous prime is 2753999. The next prime is 2754001. The reversal of 2754000 is 4572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2753999) and next prime (2754001).

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 2742336 = 108^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161992 + ... + 162008.

2^2754000 is an apocalyptic number.

2754000 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 2754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266404).

2754000 is an abundant number, since it is smaller than the sum of its proper divisors (7778808).

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

2754000 is a wasteful number, since it uses less digits than its factorization.

2754000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2754000 is about 1659.5180023127. The cubic root of 2754000 is about 140.1698618507.

Adding to 2754000 its reverse (4572), we get a palindrome (2758572).

The spelling of 2754000 in words is "two million, seven hundred fifty-four thousand".