2649361 has 16 divisors (see below), whose sum is σ = 3161088. Its totient is φ = 2188800.

The previous prime is 2649329. The next prime is 2649371. The reversal of 2649361 is 1639462.

It is the 665-th star number.

It is a 3-Lehmer number, since φ(2649361) divides (2649361-1)³.

It is a cyclic number.

It is not a de Polignac number, because 2649361 - 2⁵ = 2649329 is a prime.

It is a super-2 number, since 2×2649361² = 14038227416642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649371) 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, 13776 + ... + 13966.

It is an arithmetic number, because the mean of its divisors is an integer number (197568).

It is a Poulet number, since it divides 2^2649360-1.

2^2649361 is an apocalyptic number.

It is an amenable number.

2649361 is a deficient number, since it is larger than the sum of its proper divisors (511727).

2649361 is a wasteful number, since it uses less digits than its factorization.

2649361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 7776, while the sum is 31.

The square root of 2649361 is about 1627.6857804871. The cubic root of 2649361 is about 138.3716266304.

The spelling of 2649361 in words is "two million, six hundred forty-nine thousand, three hundred sixty-one".