21993354240 has 1408 divisors, whose sum is σ = 95080366080. Its totient is φ = 4246732800.

The previous prime is 21993354203. The next prime is 21993354241. The reversal of 21993354240 is 4245339912.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×21993354240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21993354192 and 21993354201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21993354241) 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 127 ways as a sum of consecutive naturals, for example, 709463025 + ... + 709463055.

Almost surely, 2^21993354240 is an apocalyptic number.

21993354240 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 21993354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47540183040).

21993354240 is an abundant number, since it is smaller than the sum of its proper divisors (73087011840).

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

21993354240 is a wasteful number, since it uses less digits than its factorization.

21993354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 21993354240 in words is "twenty-one billion, nine hundred ninety-three million, three hundred fifty-four thousand, two hundred forty".