2123920000 has 160 divisors (see below), whose sum is σ = 5353286400. Its totient is φ = 839040000.

The previous prime is 2123919983. The next prime is 2123920003. The reversal of 2123920000 is 293212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2123920000² = 9022072332800000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123920000.

It is not an unprimeable number, because it can be changed into a prime (2123920003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11119905 + ... + 11120095.

It is an arithmetic number, because the mean of its divisors is an integer number (33458040).

Almost surely, 2^2123920000 is an apocalyptic number.

2123920000 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 2123920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676643200).

2123920000 is an abundant number, since it is smaller than the sum of its proper divisors (3229366400).

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

2123920000 is an equidigital number, since it uses as much as digits as its factorization.

2123920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2123920000 is about 46086.0065529657. The cubic root of 2123920000 is about 1285.4229557444.

The spelling of 2123920000 in words is "two billion, one hundred twenty-three million, nine hundred twenty thousand".