2428776 has 96 divisors (see below), whose sum is σ = 7737600. Its totient is φ = 673920.

The previous prime is 2428771. The next prime is 2428781. The reversal of 2428776 is 6778242.

It is an interprime number because it is at equal distance from previous prime (2428771) and next prime (2428781).

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 an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 4⁷ + 2²¹ + 8⁵ + 7 + 7⁴ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2428776.

It is not an unprimeable number, because it can be changed into a prime (2428771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30705 + ... + 30783.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2^2428776 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 2428776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868800).

2428776 is an abundant number, since it is smaller than the sum of its proper divisors (5308824).

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

2428776 is a wasteful number, since it uses less digits than its factorization.

2428776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

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

The square root of 2428776 is about 1558.4530791782. The cubic root of 2428776 is about 134.4195656039.

The spelling of 2428776 in words is "two million, four hundred twenty-eight thousand, seven hundred seventy-six".