2000248100 has 36 divisors (see below), whose sum is σ = 4380383700. Its totient is φ = 792754560.

The previous prime is 2000248091. The next prime is 2000248109. The reversal of 2000248100 is 18420002.

It is an interprime number because it is at equal distance from previous prime (2000248091) and next prime (2000248109).

It can be written as a sum of positive squares in 6 ways, for example, as 134699236 + 1865548864 = 11606^2 + 43192^2 .

It is a super-2 number, since 2×2000248100² = 8001984923107220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2000248109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 80855 + ... + 102654.

It is an arithmetic number, because the mean of its divisors is an integer number (121677325).

Almost surely, 2^2000248100 is an apocalyptic number.

2000248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000248100 is an abundant number, since it is smaller than the sum of its proper divisors (2380135600).

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

2000248100 is a wasteful number, since it uses less digits than its factorization.

2000248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183632 (or 183625 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2000248100 is about 44724.1333063034. The cubic root of 2000248100 is about 1259.9731454762.

Adding to 2000248100 its reverse (18420002), we get a palindrome (2018668102).

The spelling of 2000248100 in words is "two billion, two hundred forty-eight thousand, one hundred".