2652400 has 60 divisors (see below), whose sum is σ = 6727000. Its totient is φ = 1002240.

The previous prime is 2652389. The next prime is 2652401. The reversal of 2652400 is 42562.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2652401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7426 + ... + 7774.

2^2652400 is an apocalyptic number.

2652400 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 2652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363500).

2652400 is an abundant number, since it is smaller than the sum of its proper divisors (4074600).

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

2652400 is a wasteful number, since it uses less digits than its factorization.

2652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2652400 is about 1628.6190469229. The cubic root of 2652400 is about 138.4245136838.

Adding to 2652400 its reverse (42562), we get a palindrome (2694962).

The spelling of 2652400 in words is "two million, six hundred fifty-two thousand, four hundred".