2124578064 has 120 divisors (see below), whose sum is σ = 6398349408. Its totient is φ = 605713920.

The previous prime is 2124578051. The next prime is 2124578123. The reversal of 2124578064 is 4608754212.

2124578064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 1789279 + ... + 1790465.

Almost surely, 2^2124578064 is an apocalyptic number.

2124578064 is a gapful number since it is divisible by the number (24) 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 2124578064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199174704).

2124578064 is an abundant number, since it is smaller than the sum of its proper divisors (4273771344).

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

2124578064 is a wasteful number, since it uses less digits than its factorization.

2124578064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2124578064 is about 46093.1455207822. The cubic root of 2124578064 is about 1285.5556982245. Note that the first 3 decimals are identical.

The spelling of 2124578064 in words is "two billion, one hundred twenty-four million, five hundred seventy-eight thousand, sixty-four".