2874778704000 has 768 divisors, whose sum is σ = 11941416264960. Its totient is φ = 649156608000.

The previous prime is 2874778703987. The next prime is 2874778704001. The reversal of 2874778704000 is 4078774782.

2874778704000 is a `hidden beast` number, since 28 + 74 + 77 + 87 + 0 + 400 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2874778704001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83646820 + ... + 83681180.

It is an arithmetic number, because the mean of its divisors is an integer number (15548719095).

Almost surely, 2^{2874778704000} is an apocalyptic number.

2874778704000 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 2874778704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970708132480).

2874778704000 is an abundant number, since it is smaller than the sum of its proper divisors (9066637560960).

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

2874778704000 is a wasteful number, since it uses less digits than its factorization.

2874778704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34486 (or 34461 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 2874778704000 in words is "two trillion, eight hundred seventy-four billion, seven hundred seventy-eight million, seven hundred four thousand".