2856939120 has 240 divisors, whose sum is σ = 11447615520. Its totient is φ = 652990464.

The previous prime is 2856939103. The next prime is 2856939121. The reversal of 2856939120 is 219396582.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2856939120² = 16324202270772748800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856939121) 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, 92344 + ... + 119336.

It is an arithmetic number, because the mean of its divisors is an integer number (47698398).

Almost surely, 2^2856939120 is an apocalyptic number.

2856939120 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 2856939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723807760).

2856939120 is an abundant number, since it is smaller than the sum of its proper divisors (8590676400).

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

2856939120 is a wasteful number, since it uses less digits than its factorization.

2856939120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27029 (or 27010 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2856939120 is about 53450.3425620454. The cubic root of 2856939120 is about 1418.9496828789.

The spelling of 2856939120 in words is "two billion, eight hundred fifty-six million, nine hundred thirty-nine thousand, one hundred twenty".