2553100 has 54 divisors (see below), whose sum is σ = 6118532. Its totient is φ = 924000.

The previous prime is 2553071. The next prime is 2553101. The reversal of 2553100 is 13552.

2553100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2553100² = 13036639220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2553101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11995 + ... + 12205.

2^2553100 is an apocalyptic number.

2553100 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 2553100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059266).

2553100 is an abundant number, since it is smaller than the sum of its proper divisors (3565432).

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

2553100 is a wasteful number, since it uses less digits than its factorization.

2553100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 2553100 is about 1597.8422950967. The cubic root of 2553100 is about 136.6750606253.

Adding to 2553100 its reverse (13552), we get a palindrome (2566652).

The spelling of 2553100 in words is "two million, five hundred fifty-three thousand, one hundred".