2509977 has 16 divisors (see below), whose sum is σ = 3497472. Its totient is φ = 1599360.

The previous prime is 2509963. The next prime is 2509981. The reversal of 2509977 is 7799052.

2509977 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2509977 - 2⁴ = 2509961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2509907) 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, 12643 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (218592).

2^2509977 is an apocalyptic number.

It is an amenable number.

2509977 is a deficient number, since it is larger than the sum of its proper divisors (987495).

2509977 is a wasteful number, since it uses less digits than its factorization.

2509977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 2509977 is about 1584.2906930232. The cubic root of 2509977 is about 135.9011861516.

It can be divided in two parts, 2509 and 977, that added together give a triangular number (3486 = T₈₃).

The spelling of 2509977 in words is "two million, five hundred nine thousand, nine hundred seventy-seven".