2264416 has 48 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 881280.

The previous prime is 2264393. The next prime is 2264429. The reversal of 2264416 is 6144622.

2264416 = T₂₀₃ + T₂₀₄ + ... + T₂₇₉.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005 + ... + 2923.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

2^2264416 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 2264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2264416 is an abundant number, since it is smaller than the sum of its proper divisors (3299744).

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

2264416 is a wasteful number, since it uses less digits than its factorization.

2264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2264416 is about 1504.7976608169. The cubic root of 2264416 is about 131.3163304937.

The spelling of 2264416 in words is "two million, two hundred sixty-four thousand, four hundred sixteen".