2641424720 has 160 divisors (see below), whose sum is σ = 6851775744. Its totient is φ = 939008000.

The previous prime is 2641424693. The next prime is 2641424761. The reversal of 2641424720 is 274241462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10043309 + ... + 10043571.

Almost surely, 2^2641424720 is an apocalyptic number.

2641424720 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 2641424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425887872).

2641424720 is an abundant number, since it is smaller than the sum of its proper divisors (4210351024).

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

2641424720 is a wasteful number, since it uses less digits than its factorization.

2641424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2641424720 is about 51394.7927323382. The cubic root of 2641424720 is about 1382.3332229627. Note that the first 3 decimals are identical.

It can be divided in two parts, 264142 and 4720, that added together give a palindrome (268862).

The spelling of 2641424720 in words is "two billion, six hundred forty-one million, four hundred twenty-four thousand, seven hundred twenty".