2121934320 has 240 divisors, whose sum is σ = 8062733952. Its totient is φ = 514356480.

The previous prime is 2121934313. The next prime is 2121934327. The reversal of 2121934320 is 234391212.

It is a happy number.

2121934320 is a `hidden beast` number, since 212 + 19 + 3 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2121934313) and next prime (2121934327).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121934327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208879 + ... + 218801.

Almost surely, 2^2121934320 is an apocalyptic number.

2121934320 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 2121934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031366976).

2121934320 is an abundant number, since it is smaller than the sum of its proper divisors (5940799632).

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

2121934320 is a wasteful number, since it uses less digits than its factorization.

2121934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962 (or 9944 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2121934320 is about 46064.4583165807. The cubic root of 2121934320 is about 1285.0222447158.

The spelling of 2121934320 in words is "two billion, one hundred twenty-one million, nine hundred thirty-four thousand, three hundred twenty".