2212406440000 has 140 divisors (see below), whose sum is σ = 5516376653788. Its totient is φ = 880070400000.

The previous prime is 2212406439953. The next prime is 2212406440051. The reversal of 2212406440000 is 446042122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2212406357056 + 82944 = 1487416^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7087210 + ... + 7392790.

Almost surely, 2^{2212406440000} is an apocalyptic number.

2212406440000 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 2212406440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758188326894).

2212406440000 is an abundant number, since it is smaller than the sum of its proper divisors (3303970213788).

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

2212406440000 is an equidigital number, since it uses as much as digits as its factorization.

2212406440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305794 (or 305769 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The spelling of 2212406440000 in words is "two trillion, two hundred twelve billion, four hundred six million, four hundred forty thousand".