2248776 has 64 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 721728.

The previous prime is 2248769. The next prime is 2248781. The reversal of 2248776 is 6778422.

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

It is a d-powerful number, because it can be written as 2⁷ + 2²¹ + 4⁵ + 8⁵ + 7² + 7⁶ + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 2248776.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

2^2248776 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 2248776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2248776 is an abundant number, since it is smaller than the sum of its proper divisors (4231224).

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

2248776 is a wasteful number, since it uses less digits than its factorization.

2248776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2248776 is about 1499.5919444969. The cubic root of 2248776 is about 131.0133040118.

The spelling of 2248776 in words is "two million, two hundred forty-eight thousand, seven hundred seventy-six".