2428144740 has 144 divisors (see below), whose sum is σ = 8504775552. Its totient is φ = 549255168.

The previous prime is 2428144723. The next prime is 2428144751. The reversal of 2428144740 is 474418242.

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

It is a junction number, because it is equal to n+sod(n) for n = 2428144695 and 2428144704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112287 + ... + 132153.

Almost surely, 2^2428144740 is an apocalyptic number.

2428144740 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 2428144740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252387776).

2428144740 is an abundant number, since it is smaller than the sum of its proper divisors (6076630812).

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

2428144740 is a wasteful number, since it uses less digits than its factorization.

2428144740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986 (or 19981 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2428144740 is about 49276.2086609755. The cubic root of 2428144740 is about 1344.0791899024.

The spelling of 2428144740 in words is "two billion, four hundred twenty-eight million, one hundred forty-four thousand, seven hundred forty".