2078427299520 has 1344 divisors, whose sum is σ = 8346888990720. Its totient is φ = 434294784000.

The previous prime is 2078427299513. The next prime is 2078427299537. The reversal of 2078427299520 is 259927248702.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1357561155 + ... + 1357562685.

It is an arithmetic number, because the mean of its divisors is an integer number (6210482880).

Almost surely, 2^{2078427299520} is an apocalyptic number.

2078427299520 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 2078427299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173444495360).

2078427299520 is an abundant number, since it is smaller than the sum of its proper divisors (6268461691200).

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

2078427299520 is a wasteful number, since it uses less digits than its factorization.

2078427299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 2078427299520 in words is "two trillion, seventy-eight billion, four hundred twenty-seven million, two hundred ninety-nine thousand, five hundred twenty".