2561500 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 993600.

The previous prime is 2561491. The next prime is 2561513. The reversal of 2561500 is 51652.

2561500 = T₁₆₀ + T₁₆₁ + ... + T₂₆₈.

It is a happy number.

It is a super-2 number, since 2×2561500² = 13122564500000, 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 15 ways as a sum of consecutive naturals, for example, 23446 + ... + 23554.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

2^2561500 is an apocalyptic number.

2561500 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 2561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2561500 is an abundant number, since it is smaller than the sum of its proper divisors (3204260).

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

2561500 is a wasteful number, since it uses less digits than its factorization.

2561500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 2561500 is about 1600.4686813556. The cubic root of 2561500 is about 136.8247888916.

The spelling of 2561500 in words is "two million, five hundred sixty-one thousand, five hundred".