2649424512 has 192 divisors, whose sum is σ = 8253554400. Its totient is φ = 750790656.

The previous prime is 2649424499. The next prime is 2649424513. The reversal of 2649424512 is 2154249462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2649424513) 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 23 ways as a sum of consecutive naturals, for example, 2614918 + ... + 2615930.

Almost surely, 2^2649424512 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 2649424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126777200).

2649424512 is an abundant number, since it is smaller than the sum of its proper divisors (5604129888).

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

2649424512 is a wasteful number, since it uses less digits than its factorization.

2649424512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1164 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 2649424512 is about 51472.5607678499. The cubic root of 2649424512 is about 1383.7273232951.

The spelling of 2649424512 in words is "two billion, six hundred forty-nine million, four hundred twenty-four thousand, five hundred twelve".