2428271861760 has 1344 divisors, whose sum is σ = 9397955653632. Its totient is φ = 599298932736.

The previous prime is 2428271861731. The next prime is 2428271861773. The reversal of 2428271861760 is 671681728242.

2428271861760 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 2 + 7 + 18 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2428271861697 and 2428271861706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19120250817 + ... + 19120250943.

It is an arithmetic number, because the mean of its divisors is an integer number (6992526528).

Almost surely, 2^{2428271861760} is an apocalyptic number.

2428271861760 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 2428271861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698977826816).

2428271861760 is an abundant number, since it is smaller than the sum of its proper divisors (6969683791872).

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

2428271861760 is a wasteful number, since it uses less digits than its factorization.

2428271861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2428271861760 in words is "two trillion, four hundred twenty-eight billion, two hundred seventy-one million, eight hundred sixty-one thousand, seven hundred sixty".