2782956 has 48 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 813120.

The previous prime is 2782939. The next prime is 2782973. The reversal of 2782956 is 6592872.

2782956 = 160² + 161² + ... + 231².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2782939) and next prime (2782973).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465 + ... + 4191.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

2^2782956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2782956 is an abundant number, since it is smaller than the sum of its proper divisors (4555284).

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

2782956 is a wasteful number, since it uses less digits than its factorization.

2782956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2782956 is about 1668.2194100297. The cubic root of 2782956 is about 140.6594062973.

The spelling of 2782956 in words is "two million, seven hundred eighty-two thousand, nine hundred fifty-six".