2853023040 has 672 divisors, whose sum is σ = 12258812160. Its totient is φ = 621637632.

The previous prime is 2853023029. The next prime is 2853023077. The reversal of 2853023040 is 403203582.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2853022995 and 2853023013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9737134 + ... + 9737426.

It is an arithmetic number, because the mean of its divisors is an integer number (18242280).

Almost surely, 2^2853023040 is an apocalyptic number.

2853023040 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 2853023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129406080).

2853023040 is an abundant number, since it is smaller than the sum of its proper divisors (9405789120).

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

2853023040 is a wasteful number, since it uses less digits than its factorization.

2853023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2853023040 is about 53413.6971197464. The cubic root of 2853023040 is about 1418.3010561390.

The spelling of 2853023040 in words is "two billion, eight hundred fifty-three million, twenty-three thousand, forty".