2620416 has 44 divisors (see below), whose sum is σ = 6992552. Its totient is φ = 872448.

The previous prime is 2620403. The next prime is 2620417. The reversal of 2620416 is 6140262.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2620392 and 2620401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2620417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2646 + ... + 3498.

2^2620416 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 2620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496276).

2620416 is an abundant number, since it is smaller than the sum of its proper divisors (4372136).

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

2620416 is an equidigital number, since it uses as much as digits as its factorization.

2620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2620416 is about 1618.7699033525. The cubic root of 2620416 is about 137.8658642014.

Adding to 2620416 its reverse (6140262), we get a palindrome (8760678).

The spelling of 2620416 in words is "two million, six hundred twenty thousand, four hundred sixteen".