2506735 has 32 divisors (see below), whose sum is σ = 3981312. Its totient is φ = 1466880.

The previous prime is 2506729. The next prime is 2506759. The reversal of 2506735 is 5376052.

2506735 = T₂₇₄ + T₂₇₅ + ... + T₃₂₈.

It is not a de Polignac number, because 2506735 - 2⁹ = 2506223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6354 + ... + 6736.

It is an arithmetic number, because the mean of its divisors is an integer number (124416).

2^2506735 is an apocalyptic number.

2506735 is a deficient number, since it is larger than the sum of its proper divisors (1474577).

2506735 is a wasteful number, since it uses less digits than its factorization.

2506735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 2506735 is about 1583.2671916010. The cubic root of 2506735 is about 135.8426488984.

The spelling of 2506735 in words is "two million, five hundred six thousand, seven hundred thirty-five".