2101952160 has 768 divisors, whose sum is σ = 9405849600. Its totient is φ = 425779200.

The previous prime is 2101952147. The next prime is 2101952173. The reversal of 2101952160 is 612591012.

2101952160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2101952147) and next prime (2101952173).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23617396 + ... + 23617484.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^2101952160 is an apocalyptic number.

2101952160 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 2101952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702924800).

2101952160 is an abundant number, since it is smaller than the sum of its proper divisors (7303897440).

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

2101952160 is a wasteful number, since it uses less digits than its factorization.

2101952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 2101952160 is about 45847.0518136117. The cubic root of 2101952160 is about 1280.9758508904.

The spelling of 2101952160 in words is "two billion, one hundred one million, nine hundred fifty-two thousand, one hundred sixty".