2129472768 has 144 divisors (see below), whose sum is σ = 6037125696. Its totient is φ = 664043520.

The previous prime is 2129472721. The next prime is 2129472791. The reversal of 2129472768 is 8672749212.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754430 + ... + 2755202.

It is an arithmetic number, because the mean of its divisors is an integer number (41924484).

Almost surely, 2^2129472768 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 2129472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018562848).

2129472768 is an abundant number, since it is smaller than the sum of its proper divisors (3907652928).

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

2129472768 is a wasteful number, since it uses less digits than its factorization.

2129472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 2129472768 is about 46146.2107653489. The cubic root of 2129472768 is about 1286.5421824973.

The spelling of 2129472768 in words is "two billion, one hundred twenty-nine million, four hundred seventy-two thousand, seven hundred sixty-eight".