2783520 has 72 divisors (see below), whose sum is σ = 9503676. Its totient is φ = 741888.

The previous prime is 2783513. The next prime is 2783527. The reversal of 2783520 is 253872.

It is an interprime number because it is at equal distance from previous prime (2783513) and next prime (2783527).

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 1296 = 1668^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2783527) 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, 474 + ... + 2406.

2^2783520 is an apocalyptic number.

2783520 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 2783520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751838).

2783520 is an abundant number, since it is smaller than the sum of its proper divisors (6720156).

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

2783520 is a wasteful number, since it uses less digits than its factorization.

2783520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2783520 is about 1668.3884439782. The cubic root of 2783520 is about 140.6689077706.

The spelling of 2783520 in words is "two million, seven hundred eighty-three thousand, five hundred twenty".