20882829240 has 1024 divisors, whose sum is σ = 94058496000. Its totient is φ = 3994583040.

The previous prime is 20882829221. The next prime is 20882829241. The reversal of 20882829240 is 4292828802.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20882829241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48451825 + ... + 48452255.

It is an arithmetic number, because the mean of its divisors is an integer number (91854000).

Almost surely, 2^20882829240 is an apocalyptic number.

20882829240 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 20882829240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47029248000).

20882829240 is an abundant number, since it is smaller than the sum of its proper divisors (73175666760).

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

20882829240 is a wasteful number, since it uses less digits than its factorization.

20882829240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20882829240 in words is "twenty billion, eight hundred eighty-two million, eight hundred twenty-nine thousand, two hundred forty".