2552100 has 72 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 662400.

The previous prime is 2552059. The next prime is 2552107. The reversal of 2552100 is 12552.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2552100.

It is not an unprimeable number, because it can be changed into a prime (2552107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14010 + ... + 14190.

2^2552100 is an apocalyptic number.

2552100 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 2552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2552100 is an abundant number, since it is smaller than the sum of its proper divisors (5030748).

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

2552100 is a wasteful number, since it uses less digits than its factorization.

2552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2552100 is about 1597.5293424535. The cubic root of 2552100 is about 136.6572139671.

Adding to 2552100 its reverse (12552), we get a palindrome (2564652).

It can be divided in two parts, 25 and 52100, that added together give a palindrome (52125).

The spelling of 2552100 in words is "two million, five hundred fifty-two thousand, one hundred".