2629345020 has 96 divisors (see below), whose sum is σ = 7818612480. Its totient is φ = 658344960.

The previous prime is 2629345007. The next prime is 2629345049. The reversal of 2629345020 is 205439262.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118615 + ... + 139025.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 2^2629345020 is an apocalyptic number.

2629345020 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 2629345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

2629345020 is an abundant number, since it is smaller than the sum of its proper divisors (5189267460).

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

2629345020 is a wasteful number, since it uses less digits than its factorization.

2629345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555 (or 20553 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2629345020 is about 51277.1393507867. The cubic root of 2629345020 is about 1380.2227848680. Note that the first 3 decimals are identical.

The spelling of 2629345020 in words is "two billion, six hundred twenty-nine million, three hundred forty-five thousand, twenty".