2412258048000 has 1152 divisors, whose sum is σ = 9128482272000. Its totient is φ = 611883417600.

The previous prime is 2412258047999. The next prime is 2412258048019. The reversal of 2412258048000 is 8408522142.

2412258048000 is a `hidden beast` number, since 2 + 4 + 122 + 58 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 5278463772 + ... + 5278464228.

It is an arithmetic number, because the mean of its divisors is an integer number (7924029750).

Almost surely, 2^{2412258048000} is an apocalyptic number.

2412258048000 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 2412258048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564241136000).

2412258048000 is an abundant number, since it is smaller than the sum of its proper divisors (6716224224000).

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

2412258048000 is a wasteful number, since it uses less digits than its factorization.

2412258048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2412258048000 in words is "two trillion, four hundred twelve billion, two hundred fifty-eight million, forty-eight thousand".