2648961 has 24 divisors (see below), whose sum is σ = 4605120. Its totient is φ = 1433376.

The previous prime is 2648959. The next prime is 2648963. The reversal of 2648961 is 1698462.

2648961 is a `hidden beast` number, since 2 + 648 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2648959) and next prime (2648963).

It is not a de Polignac number, because 2648961 - 2¹ = 2648959 is a prime.

It is a super-3 number, since 3×2648961³ = 55763233345710983043, which contains 333 as substring.

2648961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2648963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (191880).

2^2648961 is an apocalyptic number.

2648961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2648961 is a deficient number, since it is larger than the sum of its proper divisors (1956159).

2648961 is a wasteful number, since it uses less digits than its factorization.

2648961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2242 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2648961 is about 1627.5629020102. The cubic root of 2648961 is about 138.3646625063.

The spelling of 2648961 in words is "two million, six hundred forty-eight thousand, nine hundred sixty-one".