2544193047240 has 512 divisors, whose sum is σ = 9316358553600. Its totient is φ = 613810068480.

The previous prime is 2544193047203. The next prime is 2544193047259. The reversal of 2544193047240 is 427403914452.

2544193047240 is a `hidden beast` number, since 2 + 54 + 4 + 1 + 93 + 0 + 472 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147987045 + ... + 148004235.

It is an arithmetic number, because the mean of its divisors is an integer number (18196012800).

Almost surely, 2^{2544193047240} is an apocalyptic number.

2544193047240 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 2544193047240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658179276800).

2544193047240 is an abundant number, since it is smaller than the sum of its proper divisors (6772165506360).

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

2544193047240 is a wasteful number, since it uses less digits than its factorization.

2544193047240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434 (or 17424 counting only the distinct ones).

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

The spelling of 2544193047240 in words is "two trillion, five hundred forty-four billion, one hundred ninety-three million, forty-seven thousand, two hundred forty".