2129760000 has 720 divisors, whose sum is σ = 8620365600. Its totient is φ = 516096000.

The previous prime is 2129759953. The next prime is 2129760011. The reversal of 2129760000 is 679212.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73439986 + ... + 73440014.

It is an arithmetic number, because the mean of its divisors is an integer number (11972730).

Almost surely, 2^2129760000 is an apocalyptic number.

2129760000 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 2129760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310182800).

2129760000 is an abundant number, since it is smaller than the sum of its proper divisors (6490605600).

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

2129760000 is an equidigital number, since it uses as much as digits as its factorization.

2129760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2129760000 is about 46149.3228552706. The cubic root of 2129760000 is about 1286.6000245879.

It can be divided in two parts, 2129 and 760000, that added together give a square (762129 = 873²).

The spelling of 2129760000 in words is "two billion, one hundred twenty-nine million, seven hundred sixty thousand".