2241121559040 has 2880 divisors, whose sum is σ = 10461782403072. Its totient is φ = 431043379200.

The previous prime is 2241121558981. The next prime is 2241121559041. The reversal of 2241121559040 is 409551211422.

2241121559040 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 21 + 5 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2241121558986 and 2241121559004.

It is not an unprimeable number, because it can be changed into a prime (2241121559041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54661501420 + ... + 54661501460.

Almost surely, 2^{2241121559040} is an apocalyptic number.

2241121559040 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 2241121559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230891201536).

2241121559040 is an abundant number, since it is smaller than the sum of its proper divisors (8220660844032).

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

2241121559040 is a wasteful number, since it uses less digits than its factorization.

2241121559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 2241121 and 559040, that added together give a triangular number (2800161 = T₂₃₆₆).

The spelling of 2241121559040 in words is "two trillion, two hundred forty-one billion, one hundred twenty-one million, five hundred fifty-nine thousand, forty".