2078078640 has 320 divisors, whose sum is σ = 7835927040. Its totient is φ = 449003520.

The previous prime is 2078078599. The next prime is 2078078689. The reversal of 2078078640 is 468708702.

It is a junction number, because it is equal to n+sod(n) for n = 2078078592 and 2078078601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851502 + ... + 853938.

It is an arithmetic number, because the mean of its divisors is an integer number (24487272).

Almost surely, 2^2078078640 is an apocalyptic number.

2078078640 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 2078078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917963520).

2078078640 is an abundant number, since it is smaller than the sum of its proper divisors (5757848400).

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

2078078640 is a wasteful number, since it uses less digits than its factorization.

2078078640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2078078640 is about 45585.9478348317. The cubic root of 2078078640 is about 1276.1076909794.

The spelling of 2078078640 in words is "two billion, seventy-eight million, seventy-eight thousand, six hundred forty".