20288802240 has 280 divisors, whose sum is σ = 82481696352. Its totient is φ = 4637399040.

The previous prime is 20288802223. The next prime is 20288802241. The reversal of 20288802240 is 4220888202.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20288802195 and 20288802204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20288802241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125530 + ... + 237350.

Almost surely, 2^20288802240 is an apocalyptic number.

20288802240 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 20288802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41240848176).

20288802240 is an abundant number, since it is smaller than the sum of its proper divisors (62192894112).

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

20288802240 is a wasteful number, since it uses less digits than its factorization.

20288802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111857 (or 111838 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

It can be divided in two parts, 2028880 and 2240, that added together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 20288802240 in words is "twenty billion, two hundred eighty-eight million, eight hundred two thousand, two hundred forty".