2040218172720 has 720 divisors, whose sum is σ = 8581693236480. Its totient is φ = 425262569472.

The previous prime is 2040218172709. The next prime is 2040218172721. The reversal of 2040218172720 is 272718120402.

2040218172720 is a `hidden beast` number, since 2 + 0 + 402 + 18 + 172 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2040218172721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70681651 + ... + 70710509.

It is an arithmetic number, because the mean of its divisors is an integer number (11919018384).

Almost surely, 2^{2040218172720} is an apocalyptic number.

2040218172720 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 2040218172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290846618240).

2040218172720 is an abundant number, since it is smaller than the sum of its proper divisors (6541475063760).

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

2040218172720 is a wasteful number, since it uses less digits than its factorization.

2040218172720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28994 (or 28972 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 2040218172720 in words is "two trillion, forty billion, two hundred eighteen million, one hundred seventy-two thousand, seven hundred twenty".