2100248640 has 168 divisors, whose sum is σ = 8256056640. Its totient is φ = 480052224.

The previous prime is 2100248639. The next prime is 2100248651. The reversal of 2100248640 is 468420012.

2100248640 is a `hidden beast` number, since 2 + 10 + 0 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2100248640² = 8822088699643699200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31930 + ... + 72249.

Almost surely, 2^2100248640 is an apocalyptic number.

2100248640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100248640 is an abundant number, since it is smaller than the sum of its proper divisors (6155808000).

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

2100248640 is a wasteful number, since it uses less digits than its factorization.

2100248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104209 (or 104196 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2100248640 is about 45828.4697540732. The cubic root of 2100248640 is about 1280.6297031840.

Adding to 2100248640 its reverse (468420012), we get a palindrome (2568668652).

The spelling of 2100248640 in words is "two billion, one hundred million, two hundred forty-eight thousand, six hundred forty".