2629298880 has 672 divisors, whose sum is σ = 10742249280. Its totient is φ = 609140736.

The previous prime is 2629298879. The next prime is 2629298887. The reversal of 2629298880 is 888929262.

2629298880 is a `hidden beast` number, since 2 + 629 + 2 + 9 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2629298887) 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 95 ways as a sum of consecutive naturals, for example, 154664632 + ... + 154664648.

It is an arithmetic number, because the mean of its divisors is an integer number (15985490).

Almost surely, 2^2629298880 is an apocalyptic number.

2629298880 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 2629298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371124640).

2629298880 is an abundant number, since it is smaller than the sum of its proper divisors (8112950400).

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

2629298880 is an equidigital number, since it uses as much as digits as its factorization.

2629298880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2629298880 is about 51276.6894407196. The cubic root of 2629298880 is about 1380.2147113933.

The spelling of 2629298880 in words is "two billion, six hundred twenty-nine million, two hundred ninety-eight thousand, eight hundred eighty".