2586463422400 has 672 divisors, whose sum is σ = 7939769947200. Its totient is φ = 814743552000.

The previous prime is 2586463422373. The next prime is 2586463422427. The reversal of 2586463422400 is 42243646852.

It is a happy number.

2586463422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2586463422373) and next prime (2586463422427).

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, 1746429660 + ... + 1746431140.

It is an arithmetic number, because the mean of its divisors is an integer number (11815133850).

Almost surely, 2^{2586463422400} is an apocalyptic number.

2586463422400 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 2586463422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969884973600).

2586463422400 is an abundant number, since it is smaller than the sum of its proper divisors (5353306524800).

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

2586463422400 is a wasteful number, since it uses less digits than its factorization.

2586463422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 2586463422400 in words is "two trillion, five hundred eighty-six billion, four hundred sixty-three million, four hundred twenty-two thousand, four hundred".