2854465920 has 640 divisors, whose sum is σ = 11196662400. Its totient is φ = 690094080.

The previous prime is 2854465907. The next prime is 2854465927. The reversal of 2854465920 is 295644582.

2854465920 is a `hidden beast` number, since 2 + 8 + 54 + 4 + 6 + 592 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2854465927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36132441 + ... + 36132519.

It is an arithmetic number, because the mean of its divisors is an integer number (17494785).

Almost surely, 2^2854465920 is an apocalyptic number.

2854465920 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 2854465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598331200).

2854465920 is an abundant number, since it is smaller than the sum of its proper divisors (8342196480).

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

2854465920 is a wasteful number, since it uses less digits than its factorization.

2854465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2854465920 is about 53427.2020603737. The cubic root of 2854465920 is about 1418.5401117313.

The spelling of 2854465920 in words is "two billion, eight hundred fifty-four million, four hundred sixty-five thousand, nine hundred twenty".