2986416 has 80 divisors (see below), whose sum is σ = 8888320. Its totient is φ = 959040.

The previous prime is 2986411. The next prime is 2986421. The reversal of 2986416 is 6146892.

2986416 is a `hidden beast` number, since 2 + 9 + 8 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2986411) and next prime (2986421).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2986411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13281 + ... + 13503.

It is an arithmetic number, because the mean of its divisors is an integer number (111104).

2^2986416 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 2986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444160).

2986416 is an abundant number, since it is smaller than the sum of its proper divisors (5901904).

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

2986416 is a wasteful number, since it uses less digits than its factorization.

2986416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2986416 is about 1728.1249954792. The cubic root of 2986416 is about 144.0069441096.

The spelling of 2986416 in words is "two million, nine hundred eighty-six thousand, four hundred sixteen".