2028902587200 has 252 divisors, whose sum is σ = 7238020090860. Its totient is φ = 539028357120.

The previous prime is 2028902587193. The next prime is 2028902587207. The reversal of 2028902587200 is 27852098202.

2028902587200 is a `hidden beast` number, since 20 + 28 + 9 + 0 + 2 + 587 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2028902587193) and next prime (2028902587207).

It can be written as a sum of positive squares in 6 ways, for example, as 457830863424 + 1571071723776 = 676632^2 + 1253424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028902587207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3611712 + ... + 4135488.

Almost surely, 2^{2028902587200} is an apocalyptic number.

2028902587200 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 2028902587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619010045430).

2028902587200 is an abundant number, since it is smaller than the sum of its proper divisors (5209117503660).

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

2028902587200 is a wasteful number, since it uses less digits than its factorization.

2028902587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524074 (or 524056 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2028902587200 in words is "two trillion, twenty-eight billion, nine hundred two million, five hundred eighty-seven thousand, two hundred".