2241024243840 has 2048 divisors, whose sum is σ = 9120190464000. Its totient is φ = 517252055040.

The previous prime is 2241024243817. The next prime is 2241024243889. The reversal of 2241024243840 is 483424201422.

2241024243840 is a `hidden beast` number, since 2 + 24 + 10 + 242 + 4 + 384 + 0 = 666.

It is a super-2 number, since 2×2241024243840² (a number of 26 digits) contains 22 as substring.

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 = 2241024243795 and 2241024243804.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23103342672 + ... + 23103342768.

It is an arithmetic number, because the mean of its divisors is an integer number (4453218000).

Almost surely, 2^{2241024243840} is an apocalyptic number.

2241024243840 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 2241024243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560095232000).

2241024243840 is an abundant number, since it is smaller than the sum of its proper divisors (6879166220160).

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

2241024243840 is a wasteful number, since it uses less digits than its factorization.

2241024243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 2241024243840 in words is "two trillion, two hundred forty-one billion, twenty-four million, two hundred forty-three thousand, eight hundred forty".