2854396920960 has 640 divisors, whose sum is σ = 11017484699760. Its totient is φ = 700073902080.

The previous prime is 2854396920943. The next prime is 2854396921003. The reversal of 2854396920960 is 690296934582.

2854396920960 is a `hidden beast` number, since 2 + 8 + 543 + 9 + 6 + 9 + 20 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 909978629184 + 1944418291776 = 953928^2 + 1394424^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189363984 + ... + 189379056.

Almost surely, 2^{2854396920960} is an apocalyptic number.

2854396920960 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 2854396920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508742349880).

2854396920960 is an abundant number, since it is smaller than the sum of its proper divisors (8163087778800).

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

2854396920960 is a wasteful number, since it uses less digits than its factorization.

2854396920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15398 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2854396920960 in words is "two trillion, eight hundred fifty-four billion, three hundred ninety-six million, nine hundred twenty thousand, nine hundred sixty".