2120967576 has 288 divisors, whose sum is σ = 7311713760. Its totient is φ = 543449088.

The previous prime is 2120967571. The next prime is 2120967631. The reversal of 2120967576 is 6757690212.

2120967576 is a `hidden beast` number, since 2 + 12 + 0 + 9 + 67 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120967571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3151176 + ... + 3151848.

It is an arithmetic number, because the mean of its divisors is an integer number (25387895).

Almost surely, 2^2120967576 is an apocalyptic number.

2120967576 is a gapful number since it is divisible by the number (26) 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 2120967576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655856880).

2120967576 is an abundant number, since it is smaller than the sum of its proper divisors (5190746184).

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

2120967576 is a wasteful number, since it uses less digits than its factorization.

2120967576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2120967576 is about 46053.9637382061. The cubic root of 2120967576 is about 1284.8270648994.

The spelling of 2120967576 in words is "two billion, one hundred twenty million, nine hundred sixty-seven thousand, five hundred seventy-six".