2078967091104 has 288 divisors, whose sum is σ = 6223528321920. Its totient is φ = 682560110592.

The previous prime is 2078967091087. The next prime is 2078967091133. The reversal of 2078967091104 is 4011907698702.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503501712 + ... + 503505840.

It is an arithmetic number, because the mean of its divisors is an integer number (21609473340).

Almost surely, 2^{2078967091104} is an apocalyptic number.

2078967091104 is a gapful number since it is divisible by the number (24) 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 2078967091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111764160960).

2078967091104 is an abundant number, since it is smaller than the sum of its proper divisors (4144561230816).

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

2078967091104 is an equidigital number, since it uses as much as digits as its factorization.

2078967091104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 2078967091104 in words is "two trillion, seventy-eight billion, nine hundred sixty-seven million, ninety-one thousand, one hundred four".