2428723840 has 64 divisors (see below), whose sum is σ = 5845365000. Its totient is φ = 964931584.

The previous prime is 2428723769. The next prime is 2428723859. The reversal of 2428723840 is 483278242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1809311296 + 619412544 = 42536^2 + 24888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2428723793 and 2428723802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82626 + ... + 108094.

Almost surely, 2^2428723840 is an apocalyptic number.

2428723840 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 2428723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922682500).

2428723840 is an abundant number, since it is smaller than the sum of its proper divisors (3416641160).

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

2428723840 is a wasteful number, since it uses less digits than its factorization.

2428723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25637 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 2428723840 is about 49282.0843715036. The cubic root of 2428723840 is about 1344.1860333944.

The spelling of 2428723840 in words is "two billion, four hundred twenty-eight million, seven hundred twenty-three thousand, eight hundred forty".