2028306742560 has 864 divisors, whose sum is σ = 8374802357376. Its totient is φ = 437629132800.

The previous prime is 2028306742549. The next prime is 2028306742573. The reversal of 2028306742560 is 652476038202.

2028306742560 is a `hidden beast` number, since 2 + 0 + 2 + 83 + 0 + 6 + 7 + 4 + 2 + 560 = 666.

It is a super-2 number, since 2×2028306742560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 397159527 + ... + 397164633.

It is an arithmetic number, because the mean of its divisors is an integer number (9693058284).

Almost surely, 2^{2028306742560} is an apocalyptic number.

2028306742560 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 2028306742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187401178688).

2028306742560 is an abundant number, since it is smaller than the sum of its proper divisors (6346495614816).

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

2028306742560 is a wasteful number, since it uses less digits than its factorization.

2028306742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2028306742560 in words is "two trillion, twenty-eight billion, three hundred six million, seven hundred forty-two thousand, five hundred sixty".