2000253200000 has 192 divisors, whose sum is σ = 5433590665440. Its totient is φ = 727363200000.

The previous prime is 2000253199993. The next prime is 2000253200017. The reversal of 2000253200000 is 23520002.

It is a super-2 number, since 2×2000253200000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4172699 + ... + 4627301.

Almost surely, 2^{2000253200000} is an apocalyptic number.

2000253200000 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 2000253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716795332720).

2000253200000 is an abundant number, since it is smaller than the sum of its proper divisors (3433337465440).

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

2000253200000 is an frugal number, since it uses more digits than its factorization.

2000253200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454653 (or 454621 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

Adding to 2000253200000 its reverse (23520002), we get a palindrome (2000276720002).

The spelling of 2000253200000 in words is "two trillion, two hundred fifty-three million, two hundred thousand".