2854201328640 has 1232 divisors, whose sum is σ = 10915506645120. Its totient is φ = 713769615360.

The previous prime is 2854201328567. The next prime is 2854201328681. The reversal of 2854201328640 is 468231024582.

2854201328640 is a `hidden beast` number, since 2 + 85 + 4 + 201 + 328 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11843158920 + ... + 11843159160.

It is an arithmetic number, because the mean of its divisors is an integer number (8859989160).

Almost surely, 2^{2854201328640} is an apocalyptic number.

2854201328640 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 2854201328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457753322560).

2854201328640 is an abundant number, since it is smaller than the sum of its proper divisors (8061305316480).

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

2854201328640 is a wasteful number, since it uses less digits than its factorization.

2854201328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2854201328640 in words is "two trillion, eight hundred fifty-four billion, two hundred one million, three hundred twenty-eight thousand, six hundred forty".