2838417120 has 1152 divisors, whose sum is σ = 13403335680. Its totient is φ = 553512960.

The previous prime is 2838417119. The next prime is 2838417139. The reversal of 2838417120 is 217148382.

2838417120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2838417120² = 16113223494218188800, which contains 22 as substring.

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

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, 53555014 + ... + 53555066.

It is an arithmetic number, because the mean of its divisors is an integer number (11634840).

Almost surely, 2^2838417120 is an apocalyptic number.

2838417120 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 2838417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701667840).

2838417120 is an abundant number, since it is smaller than the sum of its proper divisors (10564918560).

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

2838417120 is a wasteful number, since it uses less digits than its factorization.

2838417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2838417120 is about 53276.7972010330. The cubic root of 2838417120 is about 1415.8766051623.

The spelling of 2838417120 in words is "two billion, eight hundred thirty-eight million, four hundred seventeen thousand, one hundred twenty".