2678495232000 has 1920 divisors, whose sum is σ = 10992096460800. Its totient is φ = 578027520000.

The previous prime is 2678495231987. The next prime is 2678495232043. The reversal of 2678495232000 is 2325948762.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65329151980 + ... + 65329152020.

It is an arithmetic number, because the mean of its divisors is an integer number (5725050240).

Almost surely, 2^{2678495232000} is an apocalyptic number.

2678495232000 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 2678495232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496048230400).

2678495232000 is an abundant number, since it is smaller than the sum of its proper divisors (8313601228800).

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

2678495232000 is an frugal number, since it uses more digits than its factorization.

2678495232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 2678495232000 in words is "two trillion, six hundred seventy-eight billion, four hundred ninety-five million, two hundred thirty-two thousand".