20240787840 has 1024 divisors, whose sum is σ = 85016494080. Its totient is φ = 3981312000.

The previous prime is 20240787811. The next prime is 20240787851. The reversal of 20240787840 is 4878704202.

It is a super-5 number, since 5×20240787840⁵ (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20240787792 and 20240787801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200403790 + ... + 200403890.

It is an arithmetic number, because the mean of its divisors is an integer number (83023920).

Almost surely, 2^20240787840 is an apocalyptic number.

20240787840 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 20240787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42508247040).

20240787840 is an abundant number, since it is smaller than the sum of its proper divisors (64775706240).

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

20240787840 is a wasteful number, since it uses less digits than its factorization.

20240787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 20240787840 in words is "twenty billion, two hundred forty million, seven hundred eighty-seven thousand, eight hundred forty".