2778550760832 has 1152 divisors, whose sum is σ = 10137162026880. Its totient is φ = 666305740800.

The previous prime is 2778550760819. The next prime is 2778550760897. The reversal of 2778550760832 is 2380670558772.

2778550760832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3063451323 + ... + 3063452229.

It is an arithmetic number, because the mean of its divisors is an integer number (8799619815).

Almost surely, 2^{2778550760832} is an apocalyptic number.

2778550760832 is a gapful number since it is divisible by the number (22) 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 2778550760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068581013440).

2778550760832 is an abundant number, since it is smaller than the sum of its proper divisors (7358611266048).

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

2778550760832 is a wasteful number, since it uses less digits than its factorization.

2778550760832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 2778550760832 in words is "two trillion, seven hundred seventy-eight billion, five hundred fifty million, seven hundred sixty thousand, eight hundred thirty-two".