2771840 has 64 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 1075200.

The previous prime is 2771837. The next prime is 2771843. The reversal of 2771840 is 481772.

2771840 is digitally balanced in base 5, 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 (2771837) and next prime (2771843).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39005 + ... + 39075.

2^2771840 is an apocalyptic number.

2771840 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 2771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2771840 is an abundant number, since it is smaller than the sum of its proper divisors (4058080).

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

2771840 is an equidigital number, since it uses as much as digits as its factorization.

2771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 2771840 is about 1664.8843803700. The cubic root of 2771840 is about 140.4718771150.

The spelling of 2771840 in words is "two million, seven hundred seventy-one thousand, eight hundred forty".