2629071648 has 384 divisors, whose sum is σ = 9347788800. Its totient is φ = 702203904.

The previous prime is 2629071637. The next prime is 2629071691. The reversal of 2629071648 is 8461709262.

It is a happy number.

2629071648 is a `hidden beast` number, since 2 + 629 + 0 + 7 + 16 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15742861 + ... + 15743027.

It is an arithmetic number, because the mean of its divisors is an integer number (24343200).

Almost surely, 2^2629071648 is an apocalyptic number.

2629071648 is a gapful number since it is divisible by the number (28) 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 2629071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673894400).

2629071648 is an abundant number, since it is smaller than the sum of its proper divisors (6718717152).

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

2629071648 is a wasteful number, since it uses less digits than its factorization.

2629071648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2629071648 is about 51274.4736491756. The cubic root of 2629071648 is about 1380.1749494645.

The spelling of 2629071648 in words is "two billion, six hundred twenty-nine million, seventy-one thousand, six hundred forty-eight".