2618624001 has 16 divisors (see below), whose sum is σ = 3991016448. Its totient is φ = 1496082000.

The previous prime is 2618623993. The next prime is 2618624003. The reversal of 2618624001 is 1004268162.

It is not a de Polignac number, because 2618624001 - 2³ = 2618623993 is a prime.

It is a super-2 number, since 2×2618624001² = 13714383317226496002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2618624001.

It is not an unprimeable number, because it can be changed into a prime (2618624003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181006 + ... + 194936.

It is an arithmetic number, because the mean of its divisors is an integer number (249438528).

Almost surely, 2^2618624001 is an apocalyptic number.

2618624001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2618624001 is a deficient number, since it is larger than the sum of its proper divisors (1372392447).

2618624001 is a wasteful number, since it uses less digits than its factorization.

2618624001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2618624001 is about 51172.4926205476. The cubic root of 2618624001 is about 1378.3443002844.

The spelling of 2618624001 in words is "two billion, six hundred eighteen million, six hundred twenty-four thousand, one".