2560100 has 18 divisors (see below), whose sum is σ = 5555634. Its totient is φ = 1024000.

The previous prime is 2560099. The next prime is 2560123. The reversal of 2560100 is 10652.

2560100 = T₄₄₀ + T₄₄₁ + ... + T₄₆₄.

It can be written as a sum of positive squares in 3 ways, for example, as 906304 + 1653796 = 952^2 + 1286^2 .

It is a super-2 number, since 2×2560100² = 13108224020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12701 + ... + 12900.

2^2560100 is an apocalyptic number.

2560100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560100 is an abundant number, since it is smaller than the sum of its proper divisors (2995534).

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

2560100 is a wasteful number, since it uses less digits than its factorization.

2560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25615 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2560100 is about 1600.0312496948. The cubic root of 2560100 is about 136.7998569359.

Adding to 2560100 its reverse (10652), we get a palindrome (2570752).

The spelling of 2560100 in words is "two million, five hundred sixty thousand, one hundred".