20042738240 has 224 divisors, whose sum is σ = 57593057280. Its totient is φ = 6490036224.

The previous prime is 20042738237. The next prime is 20042738267. The reversal of 20042738240 is 4283724002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×20042738240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20042738197 and 20042738206.

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, 20726237 + ... + 20727203.

Almost surely, 2^20042738240 is an apocalyptic number.

20042738240 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 20042738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28796528640).

20042738240 is an abundant number, since it is smaller than the sum of its proper divisors (37550319040).

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

20042738240 is a wasteful number, since it uses less digits than its factorization.

20042738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 20042738240 in words is "twenty billion, forty-two million, seven hundred thirty-eight thousand, two hundred forty".