2205020311040 has 160 divisors (see below), whose sum is σ = 5647425014880. Its totient is φ = 822777217024.

The previous prime is 2205020311033. The next prime is 2205020311093. The reversal of 2205020311040 is 401130205022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2205020311040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4693571 + ... + 5141949.

It is an arithmetic number, because the mean of its divisors is an integer number (35296406343).

Almost surely, 2^{2205020311040} is an apocalyptic number.

2205020311040 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 2205020311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823712507440).

2205020311040 is an abundant number, since it is smaller than the sum of its proper divisors (3442404703840).

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

2205020311040 is a wasteful number, since it uses less digits than its factorization.

2205020311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448532 (or 448516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2205020311040 its reverse (401130205022), we get a palindrome (2606150516062).

The spelling of 2205020311040 in words is "two trillion, two hundred five billion, twenty million, three hundred eleven thousand, forty".