2841078240 has 1152 divisors, whose sum is σ = 13684349952. Its totient is φ = 537477120.

The previous prime is 2841078223. The next prime is 2841078257. The reversal of 2841078240 is 428701482.

2841078240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2841078223) and next prime (2841078257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2841078195 and 2841078204.

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, 38918844 + ... + 38918916.

It is an arithmetic number, because the mean of its divisors is an integer number (11878776).

Almost surely, 2^2841078240 is an apocalyptic number.

2841078240 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 2841078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842174976).

2841078240 is an abundant number, since it is smaller than the sum of its proper divisors (10843271712).

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

2841078240 is a wasteful number, since it uses less digits than its factorization.

2841078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2841078240 is about 53301.7658244077. The cubic root of 2841078240 is about 1416.3189456777.

The spelling of 2841078240 in words is "two billion, eight hundred forty-one million, seventy-eight thousand, two hundred forty".