2101024000 has 72 divisors (see below), whose sum is σ = 5233993128. Its totient is φ = 840396800.

The previous prime is 2101023997. The next prime is 2101024001. The reversal of 2101024000 is 4201012.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 2061886464 = 6256^2 + 45408^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101024001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 64828.

It is an arithmetic number, because the mean of its divisors is an integer number (72694349).

Almost surely, 2^2101024000 is an apocalyptic number.

2101024000 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 2101024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616996564).

2101024000 is an abundant number, since it is smaller than the sum of its proper divisors (3132969128).

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

2101024000 is an frugal number, since it uses more digits than its factorization.

2101024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65688 (or 65664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2101024000 is about 45836.9283438583. The cubic root of 2101024000 is about 1280.7872760958.

Adding to 2101024000 its reverse (4201012), we get a palindrome (2105225012).

The spelling of 2101024000 in words is "two billion, one hundred one million, twenty-four thousand".