2727840 has 48 divisors (see below), whose sum is σ = 8594208. Its totient is φ = 727296.

The previous prime is 2727839. The next prime is 2727841. The reversal of 2727840 is 487272.

2727840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2727839) and next prime (2727841).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2727840² = 14882222131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2727798 and 2727807.

It is not an unprimeable number, because it can be changed into a prime (2727841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362 + ... + 3321.

It is an arithmetic number, because the mean of its divisors is an integer number (179046).

2^2727840 is an apocalyptic number.

2727840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2727840 is an abundant number, since it is smaller than the sum of its proper divisors (5866368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2727840 is a wasteful number, since it uses less digits than its factorization.

2727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5701 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2727840 is about 1651.6173891068. The cubic root of 2727840 is about 139.7246287853.

The spelling of 2727840 in words is "two million, seven hundred twenty-seven thousand, eight hundred forty".