2505776 has 40 divisors (see below), whose sum is σ = 5978784. Its totient is φ = 990720.

The previous prime is 2505773. The next prime is 2505779. The reversal of 2505776 is 6775052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2505773) and next prime (2505779).

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁴ + 0 + 5⁴ + 7³ + 7⁷ + 6⁸ .

It is not an unprimeable number, because it can be changed into a prime (2505773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 2316.

2^2505776 is an apocalyptic number.

2505776 is a gapful number since it is divisible by the number (26) 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 2505776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989392).

2505776 is an abundant number, since it is smaller than the sum of its proper divisors (3473008).

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

2505776 is a wasteful number, since it uses less digits than its factorization.

2505776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 2505776 is about 1582.9643078730. The cubic root of 2505776 is about 135.8253236105.

The spelling of 2505776 in words is "two million, five hundred five thousand, seven hundred seventy-six".