2241754242840 has 256 divisors, whose sum is σ = 8546740531200. Its totient is φ = 511997511168.

The previous prime is 2241754242803. The next prime is 2241754242853. The reversal of 2241754242840 is 482424571422.

It is a happy number.

2241754242840 is a `hidden beast` number, since 2 + 2 + 41 + 7 + 542 + 4 + 28 + 40 = 666.

It is a super-2 number, since 2×2241754242840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9538017 + ... + 9770223.

It is an arithmetic number, because the mean of its divisors is an integer number (33385705200).

Almost surely, 2^{2241754242840} is an apocalyptic number.

2241754242840 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 2241754242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273370265600).

2241754242840 is an abundant number, since it is smaller than the sum of its proper divisors (6304986288360).

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

2241754242840 is a wasteful number, since it uses less digits than its factorization.

2241754242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233511 (or 233501 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 2241754242840 in words is "two trillion, two hundred forty-one billion, seven hundred fifty-four million, two hundred forty-two thousand, eight hundred forty".