2853658080 has 1152 divisors, whose sum is σ = 13465388160. Its totient is φ = 557383680.

The previous prime is 2853658069. The next prime is 2853658099. The reversal of 2853658080 is 808563582.

It is a happy number.

2853658080 is a `hidden beast` number, since 285 + 365 + 8 + 0 + 8 + 0 = 666.

2853658080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46781250 + ... + 46781310.

It is an arithmetic number, because the mean of its divisors is an integer number (11688705).

Almost surely, 2^2853658080 is an apocalyptic number.

2853658080 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 2853658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

2853658080 is an abundant number, since it is smaller than the sum of its proper divisors (10611730080).

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

2853658080 is a wasteful number, since it uses less digits than its factorization.

2853658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2853658080 is about 53419.6413316301. The cubic root of 2853658080 is about 1418.4062791572.

The spelling of 2853658080 in words is "two billion, eight hundred fifty-three million, six hundred fifty-eight thousand, eighty".