2654240242752 has 448 divisors, whose sum is σ = 9266513018880. Its totient is φ = 729015552000.

The previous prime is 2654240242751. The next prime is 2654240242811. The reversal of 2654240242752 is 2572420424562.

It is a happy number.

2654240242752 is a `hidden beast` number, since 26 + 542 + 40 + 2 + 42 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2654240242698 and 2654240242707.

It is not an unprimeable number, because it can be changed into a prime (2654240242751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56597938 + ... + 56644814.

Almost surely, 2^{2654240242752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654240242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633256509440).

2654240242752 is an abundant number, since it is smaller than the sum of its proper divisors (6612272776128).

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

2654240242752 is a wasteful number, since it uses less digits than its factorization.

2654240242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47087 (or 47071 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 2654240242752 in words is "two trillion, six hundred fifty-four billion, two hundred forty million, two hundred forty-two thousand, seven hundred fifty-two".