2428564104 has 144 divisors (see below), whose sum is σ = 7049702400. Its totient is φ = 755080704.

The previous prime is 2428564091. The next prime is 2428564123. The reversal of 2428564104 is 4014658242.

2428564104 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 5 + 641 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2642157 + ... + 2643075.

Almost surely, 2^2428564104 is an apocalyptic number.

2428564104 is a gapful number since it is divisible by the number (24) 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 2428564104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524851200).

2428564104 is an abundant number, since it is smaller than the sum of its proper divisors (4621138296).

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

2428564104 is a wasteful number, since it uses less digits than its factorization.

2428564104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2428564104 is about 49280.4637153507. The cubic root of 2428564104 is about 1344.1565639251.

The spelling of 2428564104 in words is "two billion, four hundred twenty-eight million, five hundred sixty-four thousand, one hundred four".