2240400064020 has 96 divisors (see below), whose sum is σ = 6644477081088. Its totient is φ = 562097559552.

The previous prime is 2240400063989. The next prime is 2240400064027. The reversal of 2240400064020 is 204600040422.

2240400064020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240400064027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506629 + ... + 3280851.

It is an arithmetic number, because the mean of its divisors is an integer number (69213302928).

Almost surely, 2^{2240400064020} is an apocalyptic number.

2240400064020 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 2240400064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322238540544).

2240400064020 is an abundant number, since it is smaller than the sum of its proper divisors (4404077017068).

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

2240400064020 is a wasteful number, since it uses less digits than its factorization.

2240400064020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777089 (or 777087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 2240400064020 in words is "two trillion, two hundred forty billion, four hundred million, sixty-four thousand, twenty".