2952778383360 has 1728 divisors, whose sum is σ = 12061648331460. Its totient is φ = 667397652480.

The previous prime is 2952778383353. The next prime is 2952778383361. The reversal of 2952778383360 is 633838772592.

2952778383360 is a `hidden beast` number, since 2 + 9 + 52 + 77 + 83 + 83 + 360 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 554393419776 + 2398384963584 = 744576^2 + 1548672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952778383361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72018984940 + ... + 72018984980.

Almost surely, 2^{2952778383360} is an apocalyptic number.

2952778383360 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 2952778383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030824165730).

2952778383360 is an abundant number, since it is smaller than the sum of its proper divisors (9108869948100).

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

2952778383360 is a wasteful number, since it uses less digits than its factorization.

2952778383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2952778383360 in words is "two trillion, nine hundred fifty-two billion, seven hundred seventy-eight million, three hundred eighty-three thousand, three hundred sixty".