2689463412000 has 240 divisors, whose sum is σ = 9871228399032. Its totient is φ = 717190156800.

The previous prime is 2689463411983. The next prime is 2689463412001. The reversal of 2689463412000 is 2143649862.

2689463412000 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 4 + 634 + 1 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 365826586896 + 2323636825104 = 604836^2 + 1524348^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2689463412001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3826407 + ... + 4474406.

Almost surely, 2^{2689463412000} is an apocalyptic number.

2689463412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2689463412000 is an abundant number, since it is smaller than the sum of its proper divisors (7181764987032).

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

2689463412000 is an equidigital number, since it uses as much as digits as its factorization.

2689463412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300850 (or 8300823 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2689463412000 in words is "two trillion, six hundred eighty-nine billion, four hundred sixty-three million, four hundred twelve thousand".