2814120960 has 264 divisors, whose sum is σ = 10473107040. Its totient is φ = 643055616.

The previous prime is 2814120931. The next prime is 2814120961. The reversal of 2814120960 is 690214182.

It is a super-2 number, since 2×2814120960² = 15838553555022643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814120961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750771 + ... + 754509.

It is an arithmetic number, because the mean of its divisors is an integer number (39670860).

Almost surely, 2^2814120960 is an apocalyptic number.

2814120960 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 2814120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236553520).

2814120960 is an abundant number, since it is smaller than the sum of its proper divisors (7658986080).

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

2814120960 is a wasteful number, since it uses less digits than its factorization.

2814120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2814120960 is about 53048.2889450734. The cubic root of 2814120960 is about 1411.8251702208.

The spelling of 2814120960 in words is "two billion, eight hundred fourteen million, one hundred twenty thousand, nine hundred sixty".