2162894976 has 384 divisors, whose sum is σ = 7297879680. Its totient is φ = 608256000.

The previous prime is 2162894971. The next prime is 2162895029. The reversal of 2162894976 is 6794982612.

2162894976 is a `hidden beast` number, since 2 + 1 + 628 + 9 + 4 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2162894976² = 9356229354412081152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2162894971) 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, 11949606 + ... + 11949786.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^2162894976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648939840).

2162894976 is an abundant number, since it is smaller than the sum of its proper divisors (5134984704).

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

2162894976 is a wasteful number, since it uses less digits than its factorization.

2162894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2162894976 is about 46506.9347087077. The cubic root of 2162894976 is about 1293.2380596083.

The spelling of 2162894976 in words is "two billion, one hundred sixty-two million, eight hundred ninety-four thousand, nine hundred seventy-six".