2241930442752 has 1152 divisors, whose sum is σ = 8757455616000. Its totient is φ = 536778178560.

The previous prime is 2241930442693. The next prime is 2241930442777. The reversal of 2241930442752 is 2572440391422.

2241930442752 is a `hidden beast` number, since 224 + 19 + 304 + 42 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2241930442752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2241930442698 and 2241930442707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3118122649 + ... + 3118123367.

It is an arithmetic number, because the mean of its divisors is an integer number (7601958000).

Almost surely, 2^{2241930442752} is an apocalyptic number.

2241930442752 is a gapful number since it is divisible by the number (22) 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 2241930442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378727808000).

2241930442752 is an abundant number, since it is smaller than the sum of its proper divisors (6515525173248).

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

2241930442752 is a wasteful number, since it uses less digits than its factorization.

2241930442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2241930442752 in words is "two trillion, two hundred forty-one billion, nine hundred thirty million, four hundred forty-two thousand, seven hundred fifty-two".