2028413860704 has 288 divisors, whose sum is σ = 7423640340480. Its totient is φ = 509865062400.

The previous prime is 2028413860667. The next prime is 2028413860727. The reversal of 2028413860704 is 4070683148202.

It is a happy number.

2028413860704 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 4 + 1 + 38 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2028413860704² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2028413860704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787849 + ... + 2162760.

It is an arithmetic number, because the mean of its divisors is an integer number (25776528960).

Almost surely, 2^{2028413860704} is an apocalyptic number.

2028413860704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2028413860704 is an abundant number, since it is smaller than the sum of its proper divisors (5395226479776).

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

2028413860704 is a wasteful number, since it uses less digits than its factorization.

2028413860704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950674 (or 2950663 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 2028413860704 in words is "two trillion, twenty-eight billion, four hundred thirteen million, eight hundred sixty thousand, seven hundred four".