21001098240 has 792 divisors, whose sum is σ = 82349336160. Its totient is φ = 4933287936.

The previous prime is 21001098233. The next prime is 21001098247. The reversal of 21001098240 is 4289010012.

It is an interprime number because it is at equal distance from previous prime (21001098233) and next prime (21001098247).

It is a super-2 number, since 2×21001098240² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001098247) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 253025239 + ... + 253025321.

Almost surely, 2^21001098240 is an apocalyptic number.

21001098240 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 21001098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41174668080).

21001098240 is an abundant number, since it is smaller than the sum of its proper divisors (61348237920).

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

21001098240 is a wasteful number, since it uses less digits than its factorization.

21001098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21001098240 in words is "twenty-one billion, one million, ninety-eight thousand, two hundred forty".