2028901252320 has 288 divisors, whose sum is σ = 7053811128000. Its totient is φ = 530941796352.

The previous prime is 2028901252199. The next prime is 2028901252351. The reversal of 2028901252320 is 232521098202.

2028901252320 is a `hidden beast` number, since 2 + 0 + 2 + 89 + 0 + 1 + 252 + 320 = 666.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20870386 + ... + 20967374.

It is an arithmetic number, because the mean of its divisors is an integer number (24492399750).

Almost surely, 2^{2028901252320} is an apocalyptic number.

2028901252320 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 2028901252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526905564000).

2028901252320 is an abundant number, since it is smaller than the sum of its proper divisors (5024909875680).

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

2028901252320 is a wasteful number, since it uses less digits than its factorization.

2028901252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97282 (or 97271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2028901252320 in words is "two trillion, twenty-eight billion, nine hundred one million, two hundred fifty-two thousand, three hundred twenty".