2506749 has 16 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 1413360.

The previous prime is 2506729. The next prime is 2506759. The reversal of 2506749 is 9476052.

It is not a de Polignac number, because 2506749 - 2⁵ = 2506717 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 5⁵ + 0 + 6⁸ + 7⁷ + 4⁴ + 9² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904 + ... + 2414.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

2^2506749 is an apocalyptic number.

It is an amenable number.

2506749 is a deficient number, since it is larger than the sum of its proper divisors (1363971).

2506749 is a wasteful number, since it uses less digits than its factorization.

2506749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2506749 is about 1583.2716128321. The cubic root of 2506749 is about 135.8429017896.

The spelling of 2506749 in words is "two million, five hundred six thousand, seven hundred forty-nine".