2697840 has 80 divisors (see below), whose sum is σ = 9300000. Its totient is φ = 718848.

The previous prime is 2697823. The next prime is 2697853. The reversal of 2697840 is 487962.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2697795 and 2697804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (116250).

2^2697840 is an apocalyptic number.

2697840 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 2697840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650000).

2697840 is an abundant number, since it is smaller than the sum of its proper divisors (6602160).

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

2697840 is a wasteful number, since it uses less digits than its factorization.

2697840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2697840 is about 1642.5102739405. The cubic root of 2697840 is about 139.2105223913.

The spelling of 2697840 in words is "two million, six hundred ninety-seven thousand, eight hundred forty".