2862120960 has 256 divisors, whose sum is σ = 10192003200. Its totient is φ = 762052608.

The previous prime is 2862120949. The next prime is 2862120967. The reversal of 2862120960 is 690212682.

It is a happy number.

2862120960 is a `hidden beast` number, since 2 + 8 + 621 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2862120967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423357 + ... + 4424003.

Almost surely, 2^2862120960 is an apocalyptic number.

2862120960 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 2862120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096001600).

2862120960 is an abundant number, since it is smaller than the sum of its proper divisors (7329882240).

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

2862120960 is an frugal number, since it uses more digits than its factorization.

2862120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2862120960 is about 53498.7940050988. The cubic root of 2862120960 is about 1419.8070490986.

The spelling of 2862120960 in words is "two billion, eight hundred sixty-two million, one hundred twenty thousand, nine hundred sixty".