2412845793504 has 144 divisors (see below), whose sum is σ = 7166100824064. Its totient is φ = 768642336000.

The previous prime is 2412845793451. The next prime is 2412845793563. The reversal of 2412845793504 is 4053975482142.

It is a happy number.

2412845793504 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 8 + 45 + 7 + 93 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7465989 + ... + 7782459.

It is an arithmetic number, because the mean of its divisors is an integer number (49764589056).

Almost surely, 2^{2412845793504} is an apocalyptic number.

2412845793504 is a gapful number since it is divisible by the number (24) 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 2412845793504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583050412032).

2412845793504 is an abundant number, since it is smaller than the sum of its proper divisors (4753255030560).

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

2412845793504 is a wasteful number, since it uses less digits than its factorization.

2412845793504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317661 (or 317650 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2412845793504 in words is "two trillion, four hundred twelve billion, eight hundred forty-five million, seven hundred ninety-three thousand, five hundred four".