2771040 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 704000.

The previous prime is 2771039. The next prime is 2771057. The reversal of 2771040 is 401772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2770998 and 2771016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10915 + ... + 11165.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2^2771040 is an apocalyptic number.

2771040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

2771040 is an abundant number, since it is smaller than the sum of its proper divisors (6373536).

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

2771040 is a wasteful number, since it uses less digits than its factorization.

2771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2771040 is about 1664.6441061080. The cubic root of 2771040 is about 140.4583616265.

The spelling of 2771040 in words is "two million, seven hundred seventy-one thousand, forty".