2629024992 has 96 divisors (see below), whose sum is σ = 8365109760. Its totient is φ = 796671360.

The previous prime is 2629024921. The next prime is 2629024997. The reversal of 2629024992 is 2994209262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2629024997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128808 + ... + 147815.

It is an arithmetic number, because the mean of its divisors is an integer number (87136560).

Almost surely, 2^2629024992 is an apocalyptic number.

2629024992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2629024992 is an abundant number, since it is smaller than the sum of its proper divisors (5736084768).

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

2629024992 is a wasteful number, since it uses less digits than its factorization.

2629024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276653 (or 276639 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2629024992 is about 51274.0186839300. The cubic root of 2629024992 is about 1380.1667851347.

The spelling of 2629024992 in words is "two billion, six hundred twenty-nine million, twenty-four thousand, nine hundred ninety-two".