2968416 has 72 divisors (see below), whose sum is σ = 9218664. Its totient is φ = 898560.

The previous prime is 2968409. The next prime is 2968447. The reversal of 2968416 is 6148692.

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

It is a super-2 number, since 2×2968416² = 17622987098112, which contains 22 as substring.

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 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, 2700 + ... + 3636.

It is an arithmetic number, because the mean of its divisors is an integer number (128037).

2^2968416 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 2968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609332).

2968416 is an abundant number, since it is smaller than the sum of its proper divisors (6250248).

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

2968416 is a wasteful number, since it uses less digits than its factorization.

2968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

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

The square root of 2968416 is about 1722.9091676580. The cubic root of 2968416 is about 143.7170369283.

The spelling of 2968416 in words is "two million, nine hundred sixty-eight thousand, four hundred sixteen".