2463126382080 has 1440 divisors, whose sum is σ = 10951025589504. Its totient is φ = 519537328128.

The previous prime is 2463126382069. The next prime is 2463126382117. The reversal of 2463126382080 is 802836213642.

2463126382080 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 1 + 2 + 638 + 2 + 0 + 8 + 0 = 666.

2463126382080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735918967 + ... + 735922313.

Almost surely, 2^{2463126382080} is an apocalyptic number.

2463126382080 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 2463126382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475512794752).

2463126382080 is an abundant number, since it is smaller than the sum of its proper divisors (8487899207424).

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

2463126382080 is an equidigital number, since it uses as much as digits as its factorization.

2463126382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 2463126382080 in words is "two trillion, four hundred sixty-three billion, one hundred twenty-six million, three hundred eighty-two thousand, eighty".