2161212480 has 672 divisors, whose sum is σ = 9129369600. Its totient is φ = 458625024.

The previous prime is 2161212479. The next prime is 2161212481. The reversal of 2161212480 is 842121612.

2161212480 is a `hidden beast` number, since 2 + 1 + 612 + 1 + 2 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2161212479) and next prime (2161212481).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2161212481) 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 95 ways as a sum of consecutive naturals, for example, 27357081 + ... + 27357159.

Almost surely, 2^2161212480 is an apocalyptic number.

2161212480 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 2161212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2161212480 is an abundant number, since it is smaller than the sum of its proper divisors (6968157120).

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

2161212480 is a wasteful number, since it uses less digits than its factorization.

2161212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2161212480 is about 46488.8425323754. The cubic root of 2161212480 is about 1292.9026399777.

The spelling of 2161212480 in words is "two billion, one hundred sixty-one million, two hundred twelve thousand, four hundred eighty".