2782032 has 60 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 841280.

The previous prime is 2782019. The next prime is 2782049. The reversal of 2782032 is 2302872.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2781993 and 2782011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5569 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

2^2782032 is an apocalyptic number.

2782032 is a gapful number since it is divisible by the number (22) 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 2782032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2782032 is an abundant number, since it is smaller than the sum of its proper divisors (5134128).

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

2782032 is a wasteful number, since it uses less digits than its factorization.

2782032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2782032 is about 1667.9424450502. The cubic root of 2782032 is about 140.6438372790.

The spelling of 2782032 in words is "two million, seven hundred eighty-two thousand, thirty-two".