2505735 has 40 divisors (see below), whose sum is σ = 4704480. Its totient is φ = 1273536.

The previous prime is 2505707. The next prime is 2505743. The reversal of 2505735 is 5375052.

It is a de Polignac number, because none of the positive numbers 2^k-2505735 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

2505735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2505699 and 2505708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9181 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (117612).

2^2505735 is an apocalyptic number.

2505735 is a deficient number, since it is larger than the sum of its proper divisors (2198745).

2505735 is a wasteful number, since it uses less digits than its factorization.

2505735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 2505735 is about 1582.9513574333. The cubic root of 2505735 is about 135.8245828062.

It can be divided in two parts, 2505 and 735, that added together give a triangular number (3240 = T₈₀).

The spelling of 2505735 in words is "two million, five hundred five thousand, seven hundred thirty-five".