2752000 has 80 divisors (see below), whose sum is σ = 7021872. Its totient is φ = 1075200.

The previous prime is 2751997. The next prime is 2752003. The reversal of 2752000 is 2572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2751997) and next prime (2752003).

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

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752003) 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, 63979 + ... + 64021.

2^2752000 is an apocalyptic number.

2752000 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 2752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510936).

2752000 is an abundant number, since it is smaller than the sum of its proper divisors (4269872).

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

2752000 is an frugal number, since it uses more digits than its factorization.

2752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2752000 is about 1658.9153082662. The cubic root of 2752000 is about 140.1359224155.

Adding to 2752000 its reverse (2572), we get a palindrome (2754572).

The spelling of 2752000 in words is "two million, seven hundred fifty-two thousand".