2091072960 has 168 divisors, whose sum is σ = 7209349056. Its totient is φ = 556308480.

The previous prime is 2091072953. The next prime is 2091072979. The reversal of 2091072960 is 692701902.

It is a super-2 number, since 2×2091072960² = 8745172248086323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294905 + ... + 2295815.

It is an arithmetic number, because the mean of its divisors is an integer number (42912792).

Almost surely, 2^2091072960 is an apocalyptic number.

2091072960 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 2091072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604674528).

2091072960 is an abundant number, since it is smaller than the sum of its proper divisors (5118276096).

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

2091072960 is a wasteful number, since it uses less digits than its factorization.

2091072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2091072960 is about 45728.2512239425. The cubic root of 2091072960 is about 1278.7620191908.

The spelling of 2091072960 in words is "two billion, ninety-one million, seventy-two thousand, nine hundred sixty".