2428827840 has 168 divisors, whose sum is σ = 8372630448. Its totient is φ = 646256640.

The previous prime is 2428827829. The next prime is 2428827847. The reversal of 2428827840 is 487288242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2428827847) 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, 2225695 + ... + 2226785.

It is an arithmetic number, because the mean of its divisors is an integer number (49837086).

Almost surely, 2^2428827840 is an apocalyptic number.

2428827840 is a gapful number since it is divisible by the number (20) 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 2428827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186315224).

2428827840 is an abundant number, since it is smaller than the sum of its proper divisors (5943802608).

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

2428827840 is a wasteful number, since it uses less digits than its factorization.

2428827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2428827840 is about 49283.1395103843. The cubic root of 2428827840 is about 1344.2052195131.

The spelling of 2428827840 in words is "two billion, four hundred twenty-eight million, eight hundred twenty-seven thousand, eight hundred forty".