2553400 has 48 divisors (see below), whose sum is σ = 6294240. Its totient is φ = 960000.

The previous prime is 2553389. The next prime is 2553403. The reversal of 2553400 is 43552.

2553400 = T₄₉ + T₅₀ + ... + T₂₄₈.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553403) 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, 3025 + ... + 3775.

It is an arithmetic number, because the mean of its divisors is an integer number (131130).

2^2553400 is an apocalyptic number.

2553400 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 2553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147120).

2553400 is an abundant number, since it is smaller than the sum of its proper divisors (3740840).

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

2553400 is a wasteful number, since it uses less digits than its factorization.

2553400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2553400 is about 1597.9361689379. The cubic root of 2553400 is about 136.6804137140.

Adding to 2553400 its reverse (43552), we get a palindrome (2596952).

It can be divided in two parts, 255 and 3400, that added together give a triangular number (3655 = T₈₅).

The spelling of 2553400 in words is "two million, five hundred fifty-three thousand, four hundred".