2241579174840 has 512 divisors, whose sum is σ = 8202199449600. Its totient is φ = 542075535360.

The previous prime is 2241579174803. The next prime is 2241579174869. The reversal of 2241579174840 is 484719751422.

It is a happy number.

2241579174840 is a `hidden beast` number, since 2 + 2 + 4 + 157 + 9 + 1 + 7 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132605829 + ... + 132622731.

It is an arithmetic number, because the mean of its divisors is an integer number (16019920800).

Almost surely, 2^{2241579174840} is an apocalyptic number.

2241579174840 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 2241579174840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101099724800).

2241579174840 is an abundant number, since it is smaller than the sum of its proper divisors (5960620274760).

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

2241579174840 is a wasteful number, since it uses less digits than its factorization.

2241579174840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17204 (or 17194 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2241579174840 in words is "two trillion, two hundred forty-one billion, five hundred seventy-nine million, one hundred seventy-four thousand, eight hundred forty".