2552004 has 144 divisors (see below), whose sum is σ = 8561280. Its totient is φ = 622080.

The previous prime is 2551999. The next prime is 2552009. The reversal of 2552004 is 4002552.

It is an interprime number because it is at equal distance from previous prime (2551999) and next prime (2552009).

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

It is not an unprimeable number, because it can be changed into a prime (2552009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62224 + ... + 62264.

2^2552004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280640).

2552004 is an abundant number, since it is smaller than the sum of its proper divisors (6009276).

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

2552004 is a wasteful number, since it uses less digits than its factorization.

2552004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2552004 is about 1597.4992957745. The cubic root of 2552004 is about 136.6555004427.

2552004 divided by its sum of digits (18) gives a triangular number (141778 = T₅₃₂).

Adding to 2552004 its reverse (4002552), we get a palindrome (6554556).

The spelling of 2552004 in words is "two million, five hundred fifty-two thousand, four".