2412654260800 has 504 divisors, whose sum is σ = 7391985216000. Its totient is φ = 758340403200.

The previous prime is 2412654260777. The next prime is 2412654260801. The reversal of 2412654260800 is 80624562142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2412654260801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 125329576 + ... + 125348824.

Almost surely, 2^{2412654260800} is an apocalyptic number.

2412654260800 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 2412654260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695992608000).

2412654260800 is an abundant number, since it is smaller than the sum of its proper divisors (4979330955200).

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

2412654260800 is a wasteful number, since it uses less digits than its factorization.

2412654260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19347 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 2412654260800 in words is "two trillion, four hundred twelve billion, six hundred fifty-four million, two hundred sixty thousand, eight hundred".