2077378314240 has 256 divisors, whose sum is σ = 6663022092000. Its totient is φ = 552675049472.

The previous prime is 2077378314223. The next prime is 2077378314299. The reversal of 2077378314240 is 424138737702.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2077378314240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220687774 + ... + 220697186.

Almost surely, 2^{2077378314240} is an apocalyptic number.

2077378314240 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 2077378314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331511046000).

2077378314240 is an abundant number, since it is smaller than the sum of its proper divisors (4585643777760).

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

2077378314240 is an frugal number, since it uses more digits than its factorization.

2077378314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 2077378314240 in words is "two trillion, seventy-seven billion, three hundred seventy-eight million, three hundred fourteen thousand, two hundred forty".