2641049600 has 144 divisors (see below), whose sum is σ = 7484677200. Its totient is φ = 905379840.

The previous prime is 2641049597. The next prime is 2641049639. The reversal of 2641049600 is 69401462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 354716 + ... + 362084.

It is an arithmetic number, because the mean of its divisors is an integer number (51976925).

Almost surely, 2^2641049600 is an apocalyptic number.

2641049600 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 2641049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742338600).

2641049600 is an abundant number, since it is smaller than the sum of its proper divisors (4843627600).

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

2641049600 is an equidigital number, since it uses as much as digits as its factorization.

2641049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2641049600 is about 51391.1432058093. The cubic root of 2641049600 is about 1382.2677828508.

The spelling of 2641049600 in words is "two billion, six hundred forty-one million, forty-nine thousand, six hundred".