2629219072 has 72 divisors (see below), whose sum is σ = 5390248752. Its totient is φ = 1279488000.

The previous prime is 2629219067. The next prime is 2629219123. The reversal of 2629219072 is 2709129262.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1576383 + ... + 1578049.

It is an arithmetic number, because the mean of its divisors is an integer number (74864566).

Almost surely, 2^2629219072 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 2629219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695124376).

2629219072 is an abundant number, since it is smaller than the sum of its proper divisors (2761029680).

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

2629219072 is a wasteful number, since it uses less digits than its factorization.

2629219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2629219072 is about 51275.9112254478. The cubic root of 2629219072 is about 1380.2007465437.

The spelling of 2629219072 in words is "two billion, six hundred twenty-nine million, two hundred nineteen thousand, seventy-two".