2854103040 has 576 divisors, whose sum is σ = 10875271680. Its totient is φ = 716636160.

The previous prime is 2854103011. The next prime is 2854103041. The reversal of 2854103040 is 403014582.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2854102995 and 2854103013.

It is not an unprimeable number, because it can be changed into a prime (2854103041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77137902 + ... + 77137938.

It is an arithmetic number, because the mean of its divisors is an integer number (18880680).

Almost surely, 2^2854103040 is an apocalyptic number.

2854103040 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 2854103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437635840).

2854103040 is an abundant number, since it is smaller than the sum of its proper divisors (8021168640).

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

2854103040 is an equidigital number, since it uses as much as digits as its factorization.

2854103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2854103040 is about 53423.8059295666. The cubic root of 2854103040 is about 1418.4799975494.

The spelling of 2854103040 in words is "two billion, eight hundred fifty-four million, one hundred three thousand, forty".