2428295680 has 80 divisors (see below), whose sum is σ = 5896408320. Its totient is φ = 958943232.

The previous prime is 2428295677. The next prime is 2428295693. The reversal of 2428295680 is 865928242.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2428295680.

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, 196237 + ... + 208243.

It is an arithmetic number, because the mean of its divisors is an integer number (73705104).

Almost surely, 2^2428295680 is an apocalyptic number.

2428295680 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 2428295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948204160).

2428295680 is an abundant number, since it is smaller than the sum of its proper divisors (3468112640).

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

2428295680 is an equidigital number, since it uses as much as digits as its factorization.

2428295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12093 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 2428295680 is about 49277.7402079276. The cubic root of 2428295680 is about 1344.1070398497.

The spelling of 2428295680 in words is "two billion, four hundred twenty-eight million, two hundred ninety-five thousand, six hundred eighty".