2578100 has 72 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 846720.

The previous prime is 2578099. The next prime is 2578109. The reversal of 2578100 is 18752.

It is a super-2 number, since 2×2578100² = 13293199220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578109) 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, 20237 + ... + 20363.

2^2578100 is an apocalyptic number.

2578100 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 2578100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2578100 is an abundant number, since it is smaller than the sum of its proper divisors (4088140).

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

2578100 is a wasteful number, since it uses less digits than its factorization.

2578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 2578100 is about 1605.6462873248. The cubic root of 2578100 is about 137.1197205927.

It can be divided in two parts, 25 and 78100, that added together give a 7-th power (78125 = 5⁷).

The spelling of 2578100 in words is "two million, five hundred seventy-eight thousand, one hundred".