2124690048 has 384 divisors, whose sum is σ = 7181697600. Its totient is φ = 614615040.

The previous prime is 2124690047. The next prime is 2124690053. The reversal of 2124690048 is 8400964212.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2124689994 and 2124690021.

It is not an unprimeable number, because it can be changed into a prime (2124690041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16218943 + ... + 16219073.

Almost surely, 2^2124690048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590848800).

2124690048 is an abundant number, since it is smaller than the sum of its proper divisors (5057007552).

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

2124690048 is a wasteful number, since it uses less digits than its factorization.

2124690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2124690048 is about 46094.3602624009. The cubic root of 2124690048 is about 1285.5782845351.

The spelling of 2124690048 in words is "two billion, one hundred twenty-four million, six hundred ninety thousand, forty-eight".