2683720 has 48 divisors (see below), whose sum is σ = 6555060. Its totient is φ = 988416.

The previous prime is 2683717. The next prime is 2683727. The reversal of 2683720 is 273862.

It can be written as a sum of positive squares in 6 ways, for example, as 427716 + 2256004 = 654^2 + 1502^2 .

It is not an unprimeable number, because it can be changed into a prime (2683727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6562 + ... + 6958.

2^2683720 is an apocalyptic number.

2683720 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 2683720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277530).

2683720 is an abundant number, since it is smaller than the sum of its proper divisors (3871340).

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

2683720 is a wasteful number, since it uses less digits than its factorization.

2683720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2683720 is about 1638.2063362104. The cubic root of 2683720 is about 138.9672299955.

It can be divided in two parts, 2683 and 720, that added together give a triangular number (3403 = T₈₂).

The spelling of 2683720 in words is "two million, six hundred eighty-three thousand, seven hundred twenty".