2601624120 has 64 divisors (see below), whose sum is σ = 7827109920. Its totient is φ = 691789824.

The previous prime is 2601624079. The next prime is 2601624131. The reversal of 2601624120 is 214261062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11652 + ... + 73068.

Almost surely, 2^2601624120 is an apocalyptic number.

2601624120 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 2601624120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913554960).

2601624120 is an abundant number, since it is smaller than the sum of its proper divisors (5225485800).

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

2601624120 is a wasteful number, since it uses less digits than its factorization.

2601624120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61784 (or 61780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2601624120 is about 51006.1184565146. The cubic root of 2601624120 is about 1375.3551250223.

Adding to 2601624120 its reverse (214261062), we get a palindrome (2815885182).

The spelling of 2601624120 in words is "two billion, six hundred one million, six hundred twenty-four thousand, one hundred twenty".