2629122001 has 12 divisors (see below), whose sum is σ = 2906588916. Its totient is φ = 2376276320.

The previous prime is 2629121959. The next prime is 2629122031. The reversal of 2629122001 is 1002219262.

It can be written as a sum of positive squares in 2 ways, for example, as 1897473600 + 731648401 = 43560^2 + 27049^2 .

It is not a de Polignac number, because 2629122001 - 2¹¹ = 2629119953 is a prime.

It is a super-2 number, since 2×2629122001² = 13824564992284488002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2629122031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41866 + ... + 83731.

It is an arithmetic number, because the mean of its divisors is an integer number (242215743).

Almost surely, 2^2629122001 is an apocalyptic number.

2629122001 is the 41866-th pentagonal number.

It is an amenable number.

2629122001 is a deficient number, since it is larger than the sum of its proper divisors (277466915).

2629122001 is a wasteful number, since it uses less digits than its factorization.

2629122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125792 (or 125781 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2629122001 is about 51274.9646611287. The cubic root of 2629122001 is about 1380.1837606235.

The spelling of 2629122001 in words is "two billion, six hundred twenty-nine million, one hundred twenty-two thousand, one".