2226640407040 has 480 divisors, whose sum is σ = 6496087973760. Its totient is φ = 728457117696.

The previous prime is 2226640406957. The next prime is 2226640407067. The reversal of 2226640407040 is 407040466222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768577931 + ... + 1768579189.

It is an arithmetic number, because the mean of its divisors is an integer number (13533516612).

Almost surely, 2^{2226640407040} is an apocalyptic number.

2226640407040 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 2226640407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248043986880).

2226640407040 is an abundant number, since it is smaller than the sum of its proper divisors (4269447566720).

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

2226640407040 is a wasteful number, since it uses less digits than its factorization.

2226640407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 2226640407040 in words is "two trillion, two hundred twenty-six billion, six hundred forty million, four hundred seven thousand, forty".