2641960000 has 105 divisors (see below), whose sum is σ = 6576792409. Its totient is φ = 1052672000.

The previous prime is 2641959979. The next prime is 2641960037. The reversal of 2641960000 is 691462.

The square root of 2641960000 is 51400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 417139776 + 2224820224 = 20424^2 + 47168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10279872 + ... + 10280128.

Almost surely, 2^2641960000 is an apocalyptic number.

2641960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2641960000 is the 51400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641960000

2641960000 is an abundant number, since it is smaller than the sum of its proper divisors (3934832409).

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

2641960000 is an frugal number, since it uses more digits than its factorization.

2641960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 2641960000 is about 1382.4265924418.

The spelling of 2641960000 in words is "two billion, six hundred forty-one million, nine hundred sixty thousand".