2572100 has 54 divisors (see below), whose sum is σ = 5995710. Its totient is φ = 957440.

The previous prime is 2572099. The next prime is 2572103. The reversal of 2572100 is 12752.

It can be written as a sum of positive squares in 9 ways, for example, as 399424 + 2172676 = 632^2 + 1474^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2572103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28856 + ... + 28944.

2^2572100 is an apocalyptic number.

2572100 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 2572100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997855).

2572100 is an abundant number, since it is smaller than the sum of its proper divisors (3423610).

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

2572100 is a wasteful number, since it uses less digits than its factorization.

2572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2572100 is about 1603.7767924496. The cubic root of 2572100 is about 137.0132652721.

Adding to 2572100 its reverse (12752), we get a palindrome (2584852).

The spelling of 2572100 in words is "two million, five hundred seventy-two thousand, one hundred".