2161763520 has 448 divisors, whose sum is σ = 8427110400. Its totient is φ = 458293248.

The previous prime is 2161763519. The next prime is 2161763521. The reversal of 2161763520 is 253671612.

It is an interprime number because it is at equal distance from previous prime (2161763519) and next prime (2161763521).

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2161763521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14508406 + ... + 14508554.

Almost surely, 2^2161763520 is an apocalyptic number.

2161763520 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 2161763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213555200).

2161763520 is an abundant number, since it is smaller than the sum of its proper divisors (6265346880).

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

2161763520 is a wasteful number, since it uses less digits than its factorization.

2161763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2161763520 is about 46494.7687379989. The cubic root of 2161763520 is about 1293.0125135688.

The spelling of 2161763520 in words is "two billion, one hundred sixty-one million, seven hundred sixty-three thousand, five hundred twenty".