2412466056000 has 4032 divisors, whose sum is σ = 12430435530240. Its totient is φ = 433078272000.

The previous prime is 2412466055959. The next prime is 2412466056041. The reversal of 2412466056000 is 6506642142.

2412466056000 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 46 + 6 + 0 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2412466055959) and next prime (2412466056041).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13477463911 + ... + 13477464089.

It is an arithmetic number, because the mean of its divisors is an integer number (3082945320).

Almost surely, 2^{2412466056000} is an apocalyptic number.

2412466056000 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 2412466056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215217765120).

2412466056000 is an abundant number, since it is smaller than the sum of its proper divisors (10017969474240).

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

2412466056000 is a wasteful number, since it uses less digits than its factorization.

2412466056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2412466056000 in words is "two trillion, four hundred twelve billion, four hundred sixty-six million, fifty-six thousand".