2101248000 has 512 divisors, whose sum is σ = 8178768000. Its totient is φ = 530841600.

The previous prime is 2101247999. The next prime is 2101248043. The reversal of 2101248000 is 8421012.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2101248000 = 160³ + 1280³ = 720³ + 1200³.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110591991 + ... + 110592009.

Almost surely, 2^2101248000 is an apocalyptic number.

2101248000 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 2101248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089384000).

2101248000 is an abundant number, since it is smaller than the sum of its proper divisors (6077520000).

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

2101248000 is an frugal number, since it uses more digits than its factorization.

2101248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2101248000 is about 45839.3717234432. The cubic root of 2101248000 is about 1280.8327913865.

Adding to 2101248000 its reverse (8421012), we get a palindrome (2109669012).

The spelling of 2101248000 in words is "two billion, one hundred one million, two hundred forty-eight thousand".