2334561672240 has 2520 divisors, whose sum is σ = 10454773673088. Its totient is φ = 482520084480.

The previous prime is 2334561672211. The next prime is 2334561672319. The reversal of 2334561672240 is 422761654332.

2334561672240 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 5 + 616 + 7 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 31980296844 + ... + 31980296916.

Almost surely, 2^{2334561672240} is an apocalyptic number.

2334561672240 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 2334561672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227386836544).

2334561672240 is an abundant number, since it is smaller than the sum of its proper divisors (8120212000848).

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

2334561672240 is a wasteful number, since it uses less digits than its factorization.

2334561672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2334561672240 in words is "two trillion, three hundred thirty-four billion, five hundred sixty-one million, six hundred seventy-two thousand, two hundred forty".