2778342842460 has 192 divisors, whose sum is σ = 8136150220800. Its totient is φ = 707550854400.

The previous prime is 2778342842437. The next prime is 2778342842507. The reversal of 2778342842460 is 642482438772.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2778342842460.

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, 392473201 + ... + 392480279.

It is an arithmetic number, because the mean of its divisors is an integer number (42375782400).

Almost surely, 2^{2778342842460} is an apocalyptic number.

2778342842460 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 2778342842460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068075110400).

2778342842460 is an abundant number, since it is smaller than the sum of its proper divisors (5357807378340).

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

2778342842460 is a wasteful number, since it uses less digits than its factorization.

2778342842460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 57.

The spelling of 2778342842460 in words is "two trillion, seven hundred seventy-eight billion, three hundred forty-two million, eight hundred forty-two thousand, four hundred sixty".