2428571760 has 80 divisors (see below), whose sum is σ = 7570765440. Its totient is φ = 643989760.

The previous prime is 2428571729. The next prime is 2428571767. The reversal of 2428571760 is 671758242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428571767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14695 + ... + 71225.

It is an arithmetic number, because the mean of its divisors is an integer number (94634568).

Almost surely, 2^2428571760 is an apocalyptic number.

2428571760 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 2428571760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785382720).

2428571760 is an abundant number, since it is smaller than the sum of its proper divisors (5142193680).

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

2428571760 is a wasteful number, since it uses less digits than its factorization.

2428571760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56726 (or 56720 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2428571760 is about 49280.5413931300. The cubic root of 2428571760 is about 1344.1579763992.

The spelling of 2428571760 in words is "two billion, four hundred twenty-eight million, five hundred seventy-one thousand, seven hundred sixty".