2028993120 has 576 divisors, whose sum is σ = 8944266240. Its totient is φ = 406425600.

The previous prime is 2028993101. The next prime is 2028993137. The reversal of 2028993120 is 213998202.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 3215205 + ... + 3215835.

It is an arithmetic number, because the mean of its divisors is an integer number (15528240).

Almost surely, 2^2028993120 is an apocalyptic number.

2028993120 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 2028993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472133120).

2028993120 is an abundant number, since it is smaller than the sum of its proper divisors (6915273120).

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

2028993120 is a wasteful number, since it uses less digits than its factorization.

2028993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2028993120 is about 45044.3461491007. The cubic root of 2028993120 is about 1265.9800390674.

The spelling of 2028993120 in words is "two billion, twenty-eight million, nine hundred ninety-three thousand, one hundred twenty".