2241505255542 has 128 divisors (see below), whose sum is σ = 5766877762560. Its totient is φ = 565379481600.

The previous prime is 2241505255511. The next prime is 2241505255567. The reversal of 2241505255542 is 2455525051422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2241505255494 and 2241505255503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552198 + ... + 2188134.

It is an arithmetic number, because the mean of its divisors is an integer number (45053732520).

Almost surely, 2^{2241505255542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241505255542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883438881280).

2241505255542 is an abundant number, since it is smaller than the sum of its proper divisors (3525372507018).

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

2241505255542 is a wasteful number, since it uses less digits than its factorization.

2241505255542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636086.

The product of its (nonzero) digits is 800000, while the sum is 42.

The spelling of 2241505255542 in words is "two trillion, two hundred forty-one billion, five hundred five million, two hundred fifty-five thousand, five hundred forty-two".