2782416 has 120 divisors (see below), whose sum is σ = 9076800. Its totient is φ = 733824.

The previous prime is 2782411. The next prime is 2782421. The reversal of 2782416 is 6142872.

It is an interprime number because it is at equal distance from previous prime (2782411) and next prime (2782421).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214026 + ... + 214038.

It is an arithmetic number, because the mean of its divisors is an integer number (75640).

2^2782416 is an apocalyptic number.

2782416 is a gapful number since it is divisible by the number (26) 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 2782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538400).

2782416 is an abundant number, since it is smaller than the sum of its proper divisors (6294384).

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

2782416 is a wasteful number, since it uses less digits than its factorization.

2782416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2782416 is about 1668.0575529639. The cubic root of 2782416 is about 140.6503079389.

Multiplying 2782416 by its product of digits (5376), we get a square (14958268416 = 122304²).

The spelling of 2782416 in words is "two million, seven hundred eighty-two thousand, four hundred sixteen".