2853461805264 has 120 divisors (see below), whose sum is σ = 9132690827520. Its totient is φ = 814726105344.

The previous prime is 2853461805239. The next prime is 2853461805289. The reversal of 2853461805264 is 4625081643582.

2853461805264 is a `hidden beast` number, since 2 + 8 + 5 + 34 + 6 + 1 + 80 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2853461805239) and next prime (2853461805289).

It is a self number, because there is not a number n which added to its sum of digits gives 2853461805264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547042 + ... + 2450750.

It is an arithmetic number, because the mean of its divisors is an integer number (76105756896).

Almost surely, 2^{2853461805264} is an apocalyptic number.

2853461805264 is a gapful number since it is divisible by the number (24) 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 2853461805264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566345413760).

2853461805264 is an abundant number, since it is smaller than the sum of its proper divisors (6279229022256).

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

2853461805264 is a wasteful number, since it uses less digits than its factorization.

2853461805264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905217 (or 1905208 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 2853461805264 in words is "two trillion, eight hundred fifty-three billion, four hundred sixty-one million, eight hundred five thousand, two hundred sixty-four".