2678906173440 has 768 divisors, whose sum is σ = 10521463680000. Its totient is φ = 580050616320.

The previous prime is 2678906173439. The next prime is 2678906173561. The reversal of 2678906173440 is 443716098762.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-6 number, since 6×2678906173440⁶ (a number of 76 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200195550 + ... + 200208930.

It is an arithmetic number, because the mean of its divisors is an integer number (13699822500).

Almost surely, 2^{2678906173440} is an apocalyptic number.

2678906173440 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 2678906173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260731840000).

2678906173440 is an abundant number, since it is smaller than the sum of its proper divisors (7842557506560).

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

2678906173440 is a wasteful number, since it uses less digits than its factorization.

2678906173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13417 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 2678906173440 in words is "two trillion, six hundred seventy-eight billion, nine hundred six million, one hundred seventy-three thousand, four hundred forty".