2496416 has 48 divisors (see below), whose sum is σ = 5620104. Its totient is φ = 1081344.

The previous prime is 2496413. The next prime is 2496421. The reversal of 2496416 is 6146942.

2496416 = T₂₁₃ + T₂₁₄ + ... + T₂₉₀.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 547600 = 1396^2 + 740^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6896 + ... + 7248.

2^2496416 is an apocalyptic number.

2496416 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 2496416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810052).

2496416 is an abundant number, since it is smaller than the sum of its proper divisors (3123688).

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

2496416 is a wasteful number, since it uses less digits than its factorization.

2496416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 2496416 is about 1580.0050632830. The cubic root of 2496416 is about 135.6559933274.

It can be divided in two parts, 24964 and 16, that multiplied together give a square (399424 = 632²).

The spelling of 2496416 in words is "two million, four hundred ninety-six thousand, four hundred sixteen".