2428491744 has 216 divisors, whose sum is σ = 8252434008. Its totient is φ = 674956800.

The previous prime is 2428491727. The next prime is 2428491757. The reversal of 2428491744 is 4471948242.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2428491744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519819 + ... + 524469.

It is an arithmetic number, because the mean of its divisors is an integer number (38205713).

Almost surely, 2^2428491744 is an apocalyptic number.

2428491744 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 2428491744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126217004).

2428491744 is an abundant number, since it is smaller than the sum of its proper divisors (5823942264).

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

2428491744 is a wasteful number, since it uses less digits than its factorization.

2428491744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4700 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2428491744 is about 49279.7295447124. The cubic root of 2428491744 is about 1344.1432139055.

The spelling of 2428491744 in words is "two billion, four hundred twenty-eight million, four hundred ninety-one thousand, seven hundred forty-four".