2641089024 has 320 divisors, whose sum is σ = 9133344000. Its totient is φ = 753242112.

The previous prime is 2641088993. The next prime is 2641089041. The reversal of 2641089024 is 4209801462.

2641089024 is a `hidden beast` number, since 2 + 641 + 0 + 8 + 9 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2641089024.

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, 4741354 + ... + 4741910.

It is an arithmetic number, because the mean of its divisors is an integer number (28541700).

Almost surely, 2^2641089024 is an apocalyptic number.

2641089024 is a gapful number since it is divisible by the number (24) 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 2641089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566672000).

2641089024 is an abundant number, since it is smaller than the sum of its proper divisors (6492254976).

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

2641089024 is an frugal number, since it uses more digits than its factorization.

2641089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2641089024 is about 51391.5267724165. The cubic root of 2641089024 is about 1382.2746607040.

The spelling of 2641089024 in words is "two billion, six hundred forty-one million, eighty-nine thousand, twenty-four".