2652000 has 192 divisors, whose sum is σ = 9906624. Its totient is φ = 614400.

The previous prime is 2651989. The next prime is 2652007. The reversal of 2652000 is 2562.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155992 + ... + 156008.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2^2652000 is an apocalyptic number.

2652000 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 2652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

2652000 is an abundant number, since it is smaller than the sum of its proper divisors (7254624).

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

2652000 is a wasteful number, since it uses less digits than its factorization.

2652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2652000 is about 1628.4962388658. The cubic root of 2652000 is about 138.4175548806.

Adding to 2652000 its reverse (2562), we get a palindrome (2654562).

The spelling of 2652000 in words is "two million, six hundred fifty-two thousand".