2028519396120 has 512 divisors, whose sum is σ = 7594551705600. Its totient is φ = 422936371200.

The previous prime is 2028519396089. The next prime is 2028519396131. The reversal of 2028519396120 is 216939158202.

It is a happy number.

It is a Cunningham number, because it is equal to 1424261²-1.

It is a super-2 number, since 2×2028519396120² (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 2028519396120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59801965 + ... + 59835875.

It is an arithmetic number, because the mean of its divisors is an integer number (14833108800).

Almost surely, 2^{2028519396120} is an apocalyptic number.

2028519396120 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 2028519396120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797275852800).

2028519396120 is an abundant number, since it is smaller than the sum of its proper divisors (5566032309480).

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

2028519396120 is a wasteful number, since it uses less digits than its factorization.

2028519396120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34079 (or 34075 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 2028519396120 in words is "two trillion, twenty-eight billion, five hundred nineteen million, three hundred ninety-six thousand, one hundred twenty".