2161463040 has 432 divisors, whose sum is σ = 8396964576. Its totient is φ = 508723200.

The previous prime is 2161462999. The next prime is 2161463041. The reversal of 2161463040 is 403641612.

2161463040 is a `hidden beast` number, since 2 + 1 + 614 + 6 + 3 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2161462995 and 2161463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161463041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4688410 + ... + 4688870.

It is an arithmetic number, because the mean of its divisors is an integer number (19437418).

Almost surely, 2^2161463040 is an apocalyptic number.

2161463040 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 2161463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198482288).

2161463040 is an abundant number, since it is smaller than the sum of its proper divisors (6235501536).

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

2161463040 is a wasteful number, since it uses less digits than its factorization.

2161463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2161463040 is about 46491.5372944367. The cubic root of 2161463040 is about 1292.9526022358.

The spelling of 2161463040 in words is "two billion, one hundred sixty-one million, four hundred sixty-three thousand, forty".