2629429920 has 576 divisors, whose sum is σ = 10461394944. Its totient is φ = 596090880.

The previous prime is 2629429909. The next prime is 2629429921. The reversal of 2629429920 is 299249262.

2629429920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2629429921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13347262 + ... + 13347458.

It is an arithmetic number, because the mean of its divisors is an integer number (18162144).

Almost surely, 2^2629429920 is an apocalyptic number.

2629429920 is a gapful number since it is divisible by the number (20) 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 2629429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230697472).

2629429920 is an abundant number, since it is smaller than the sum of its proper divisors (7831965024).

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

2629429920 is a wasteful number, since it uses less digits than its factorization.

2629429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

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

The square root of 2629429920 is about 51277.9671983982. The cubic root of 2629429920 is about 1380.2376402347.

The spelling of 2629429920 in words is "two billion, six hundred twenty-nine million, four hundred twenty-nine thousand, nine hundred twenty".